{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "fc047279-cb4d-4ca8-9da4-bb23280d54a3",
   "metadata": {},
   "source": [
    "Chapter 30\n",
    "# 二元OLS线性回归\n",
    "Book_1《编程不难》 | 鸢尾花书：从加减乘除到机器学习  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "4c76ea20-610e-4f5d-95a3-fcf6738b523e",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.linear_model import LinearRegression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "7181ec89-9396-4646-a56b-690621a5c332",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 随机生成数据集\n",
    "np.random.seed(0)\n",
    "n_samples = 100\n",
    "X = np.random.randn(n_samples, 2)\n",
    "y = -3 * X[:,0] + 2 * X[:,1] + 1 + 0.5*np.random.randn(n_samples)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "676fe445-263e-4055-a46e-4352687be12e",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 创建线性回归模型并拟合数据\n",
    "LR = LinearRegression()\n",
    "y_predicted = LR.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "fd16c4cf-6cfb-4a3d-8c50-eb53d84d8f70",
   "metadata": {},
   "outputs": [],
   "source": [
    "slope = LR.coef_ # 斜率\n",
    "intercept = LR.intercept_ # 截距"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "c26e7f54-1747-4624-a634-e445c984fbee",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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S9ZBkPIXVaj3t9JBTQTQanbJKStoxvVUHjQVBoKKiAq1WS0tLC7W1tZSVlWXkXEmHi/noX9ObJ6QOv8wgFahTyLGMV9O37RZLIUqSXN2NjIzQ09MzRQ8pKSnBaDQuumteLCTtmJIFyeVypQaNly5dKg0aT5Kfn49arU4N2tbV1WXkPAvRv5Kv8WTnZHV1tdThd4KRCtRJZqZ4iiSLOZ5iuh4SiURQKpVH6CESR5I+aDw+Pk4kEsFisZCbm0t9fX1GGgLOBCwWC5s3b2bnzp0EAoGMaVIL0b8EQcDv9zM2NkZpaanU4XeCkQpUhpnJeDVZlBZ7PMWx9JD29nZKS0tnbcb5VkIURQKBQKogOZ1ONBoNNpuNuro6zGaz9El7luh0OjZt2kRzczN9fX0Z61RciP6V/v6NRqMAUpE6QUgFKgPMFE+RriUt1hfv0fSQgoKCI/SQxXj9p5Kk8WryuQsGg1gsFrKzs+cUTyFxJMlB2y1btjAxMYHX682Y0exC9K+kJiW1oZ84pAJ1ApiN8epiXSVJesj8CQQCxGIxDh48iMfjQalUkp2dTU1NzYLiKSSORCaTUVBQwMDAAFu3bmX16tXYbLaMnGsm/Usymj01SAVqnpzO8RSSHjI/ZrJjgkTL8pIlS6RB4wwjCAIGg4GKigqamppYunQpRUVFGTlXuv4VDAbnbTQbCoWkDr8FIBWoWZK+SjrdLIXSjVcdDoekh8yBdDsmh8ORGjSurKzEarWybds28vPzM7LlJDEzxcXFaDQadu3aRSAQoKqqKiPvu3T9a75Gs5KH38KQCtRxSOoyGo2GeDxOe3s7JpOJvLy8Rb1KmkkPSbqBS3rI0Zlp0DhpvFpRUSENGh8DURRTz53D4aCkpCRj58rOzp5iNLt8+fKTZjQ72w8j6R5+kUgEWFwJ1KcDUoE6Dk6nk7y8PLq7uzGbzYRCIURRXHQvtGTXWPLmIOkhsycUCk0J8RMEAZvNRllZGVarVbJjOgbJ8QNRFGlqaiIej2O1WjEYDOzfvx+LxZKxEYSk0WxTUxM7d+5k9erVGfldyWQyVqxYwcGDB+esf6VHyUtGs3NHKlDHIflCUigUi8q9QRTFKR13yTmR7OxsqqurpXiKY5D+Sd9ut+PxeFKrpNLSUgwGg/TcHYVkY834+Hhq/CC5Iq+pqSE3NxeZTEYoFCI3N5ddu3ah0WhSW+EnGo1Gw4YNG1KDtmvWrMnIDoEgCNTU1KDVamlqappT0KJkNDt/pAJ1HBbTiyiph/h8Pg4cOIBCoZiih0jxFEcnHA5PWSUljVeLi4ux2WzSoPExiEajUxKNo9EoFotlih3TSy+9dIRXoMlkoqSkhP7+fpqbm1mxYkVGXqPJQdu2trbUNlymhnrT9S+/309VVdWsHysZzc4d6Y62iDmaHiKXyykpKaGsrEx6gR+FZDxF+qCxXq/HZrOxYsUKDAaD1Fl1FERRPCLRODl+UF9fP6fxg+RWczgcZvv27axduzYjKcgymYz6+vrUoO2KFSvIy8s74eeBI/WvuRRDyWh2bkgFapExGz2kqakJjUYjFadpRCIRHA5HKjMpOWhcWFhIQ0ODFA9/DNLHD+x2O+FwGIvFQk5OzoIHjWUyGevWrWPv3r1s2bKFtWvXZsQRQhAEysvL0Wg07N69m5qaGsrLy0/4eWCq/uVyueb02pKi5GePVKBOMZIeMn+SlkI9PT2pQWOdTofNZmPZsmWYTCbpjX8Mpq+SVCpVqtPzRDfWyGQyGhoaOHjwINu2bcv4oK1Go6GpqYlAIDCnQdu5kNS/tm7disvlwu/3z7qQS23os0MqUKeASCQyJZ5CFMWUE7gUT3Fs0vWQYDBIR0cHVquVvLw8li5d+paLp5gLM40fmM1mbDYbNTU1GW+sSTYa6HS6jA/ams3mVJRGpvWv0tJSDh06NGf9S4qSPz5SgToJJI1Xk51PHo8nZbwq6SHH5lh6iEqlYsmSJWRnZ5/qy1y0BAKBKVvGSqUSm81GdXU1FovllDTWFBUVodFoaG5uxu/3U11dnbFB240bN6YGbTOlfwmCQFZWFjk5OXPWv9Lb0CWj2SORClSGOJYeYrPZJD3kGMykh5jN5iOMV+12u1TYpxGPx3G5XKnnLiniJ7s9F4sdk81mY9OmTakojUwP2i5m/Su9DT0YDCKKorS1P4lUoE4QMxmvSnrI7DmZesiZhiiKjI2N0dXVxcTERMqOqaKiAovFsmgHjfV6PZs3b6axsTHjg7bT9a9MsRD9SyaTMTo6ysDAABs3bpSMZpEK1IK48S8t9E74ydUJGGURTMoYJTY9lXlmliyroiTbiEL21n6BHY2ZjFdPph5yOjN9/CAWizE2NkZOTg7l5eWnlR2TWq1mw4YN7N69O6XhnIxB29lmPc2HhehfydWUZDSbYNEWqFdffZUf/vCHNDY2MjQ0xKOPPsoVV1yR+vfrr7+eP/3pT1Mes3HjRrZu3Zqxa0oO2U1MTPDsnkG29fgBgSFP8jtk0OsH/MAgMgFyDWoKTWryjWoKTRoKjGoKTBoKTYn/61RvnZVBuvFquh5SVVV1yvSQ04VwODzluRMEAavVSmlpKQcOHGDp0qWnrWHt9EHbNWvWYDabM3Ku4uJitFotjY2NGXW4WKj+JXX4JVi0dwSfz8fKlSv52Mc+xvve974Zv+fSSy/l3nvvTX2die43j8dDdXU13/nOd7jiiisIBoNkZWWxrioP075BXMEo60pNrC8zMegKMewOMegKMuwOEYmJDLsTf3c0TFrF1KJl1FBgUqf+zpZ1+k6bny56yGIkOWic3lhjMBhS3Z5GozH13LW3t5/iq104giCk4l527NiR0UFbm81GeXk53d3d7Nmz56TpX+vWrVuQ0exislo7WSzaAnXZZZdx2WWXHfN71Go1+fn5J/zcnZ2dPPPMMzz99NO8+OKL6PV6xsbGqK6uZnBwkJycHIqKivjhVSY+8bc97Ox18YE1Bdx0XnnqGHFRxO4NM+gOMeQKMeQKThawxP+HXEE8oRiuQBRXIErbiG/Ga1HJBQpMiaJVaNSQb1ITcUSoxc8ydYB8oxqlfPFsAYRCoSmf9OVyOVarddHrIYuBpPFq8vl7K9oxlZeXo9VqU40GmXJLUavVWCwWvF7vSdO/JKPZubNoC9RsePnll8nNzcVsNnP++efz3e9+d8F7y11dXdTX13P++edz2WWX8Y1vfIPNmzfz85//HKPRyNDQUOp7N1dY+O+zS/nDG73c/nQHSwsMlFkTgX8yQSDHoCbHoGblUUY9PMEoQ+4Qw5PFa9AdZHu3k31DXgRABMIxkZ6JAD0TgakP3tMP9CMAOXpVagWWP1nICkyHV2V6deZ+zdP1EK/Xmxo0Lisrk7qRjkFy/CDdjik5ftDQ0HCEt91bhby8PDZs2JCyEqqvr8/Ia0gul7N69WpaWlpOqv41l/mvt7rR7GlboC677DKuvvpqysrK6Orq4utf/zpve9vbaGxsXFALd0VFBRMTE6ml+MTExDG//1PnldHY56Kx18Utj+znL9evRq2Y3U3FoFFg0Ciozc1K/V0sLvLff9vNjh4XNTk6fnBlPRO+CEOTK69hV4gD/WM4IzLGfFHCMZFRb5hRb5iWgaOcRy2nwKQhR6+kwKSl1KJJW5WpselVyObwgg+Hw0QiEXp7e2ltbZ2ih0iDxscmmS+W3uBgtVopKChIGa9KJIxmk40GTU1NrFy5MiPnUSgUrFmz5qTqX/OZ/3qrGs2etgXqmmuuSf15+fLlrFu3jrKyMp566imuuuqqBR17LmKzQiZw53vruPruJtpGfPzw+U6+dlnNvM8tlwl8/711XH1XEx1jfv62Y5BvXD71eE1NXgoLC8nLy8PuizDkCjKU3EpM20IccodwBaJ4QjE8oz7aRwGcR5xTKRdSTRyJ/ydWXwWTf5dnUBEK+KZ80pfJZBiNRqqrq6foIRJTmWn8IDlovHTp0jkZr77VmJ5om5OTk5HznGz9K2k0O9f5r7ei0expW6CmU1BQQFlZGR0dHSf93HlGNXe8ZwmfemAvDzYNsa7MzKVL5/9myjWo+d57l/DJv+/loeYhNpSbuHTpkVuXgiCQrVeRrVfRcJQdA18osY34UrudX7zcDcDKIgMyQWDIHWLUk2jm6HME6XMEj3pNRiXk6uUUmrSUZZcQ945Tl6VDGZSDKopR89baGz8W6YPG4+PjRCIRLBYLubm5qRuhxOxQKpUpo9menp6MxWjAydO/DAbDvOe/3mpGs2dMgbLb7fT19VFQUHBKzn9OlZUbzirh7jf7uP2pdpYV6CmxzP9GdFallRvPLuGPb/Rx+1MdLM03UGqd+/Gy1AqqcxRU52QRjsb53eu9dIz5efDjqym36YjE4ox5www4g3SNuOgaddJn9zHijeCKyLAHEzqYOwJuR4yDDi90exMHb0voYABapYwis4YC4+EW+gJTssVeQ45ehfwMnQlLt2MaHx/H6XSi0Wiw2WzU1dVhNpvfsm3CJ4Jko8HOnTuZmJhgfHw8Y/ZWJ0v/Wsj811vJaHbRFiiv18vBgwdTX3d1dbFr1y6sVitWq5Xbb7+d973vfRQUFNDd3c1XvvIVsrOzufLKK0/ZNf/P+eU09bpo7nfzhUda+ct1q1DNUo+aiZvOK6ex10VTn5tbHmnlz9evmrW+NROfPDehl+3ocXHLI6386aMN+NxOXHY7IbudvFiMulILttVl2Gy21JyIMxBNtM5PNnIMuULs7x7CE1fR7wrjj8QJROIcHPNzcMw/47kVMoE8Q1ozR6qQHd5O1ChPnzdZ0ng1Go2yb98+IpHIjHZMEicGQRDIzs4mGo3S3NxMfX09xcXFGTnXTPrXyQhaXLNmzawf+1Yxml20BWrnzp1ceOGFqa9vvvlmAK677jp++9vfsmfPHu6//36cTicFBQVceOGFPPjggxnx2ZotCpnAD66s4/13NdE67OXH/znEly+pXtjxrqjn6rubaB3x8qMXDvHVS+d/PJkAX7+ohI/+xcOBUR9f+MubXL9cc0w9RBAELDolFp2SZQWHn9sdOyYSXmMaI++/q4kJf4Rzqyy8bUn2FC1s2BVkxBMmGhcZcIUYcB19JsyqU07OgCVWX/lGFUUmbaqImbWn9g0YCARSWpLD4UCpVCKKIsXFxRQXF5+xn2IXE1qtltraWpqbmwkEAhk1mk3Xv9asWZORBpbp+tdc3N3fCkazi7ZAXXDBBYiieNR/f/bZZ0/i1cyefKOGO969hE//Yx9/2znI+jIzF9XNfzsiXd96oHGQ9WUm5nK0mfSQT67S84Ntft4YkXHFWVVsqpm/XpZjUPO999bxyb/v4bVOB+9qyOMzF5RPvYa4yJg30cQxOFm8En8OTg42h/CHY0z4I0z4I+wb8s54Lq1SllptFZjURN0xunFSUyin0JRo6T+R1lIz2TGZTCays7Oprq5Gp9Px5ptvSlt4J5mk0WxyG66hoSEjOky6/pXchsvUB+Ck/tXS0jInh4tkG3qySJ1pbeiLtkCdzpxXY+P6TcXct7Wfbzx5gLr8LIrN89ejzqmy8vHNJdyzpY9vPtXONzaqKTzG96cbrzocjhn1kAl5F3+c1MuW5uvnpW8lOavy8DzYt57uYGm+nnLb4S0uuUwg36gh36hhdcmRjxdFEXcwmipaQ+4Qz7eO09jnQiaAUaPAGYgSiMQ5NO7n0PjhbcTHOg/rYPJJa6nUDJgxXQtLdCgez1oq3Y7J4XCkjFcrKyuxWq2SHdMxiEQiDA8Ppwx/S0pm+GWfIPR6fSrRdseOHaxevToj4w1J/auzs5Nt27axatWqjOpfFRUVHDp0iNbW1jnpX9M7/M4Uo1np3ZYh/veCcpr6XOwe8PDFR9q4/7qVC3J8+J/zy2jqc7Gr381vdgX5dWU89W8zBdFZLJaUG/hMeshN55fT2Depbz26cL1s6jxYK3/92OznwQRBwKRVYtIqqctPtPh/cG1hah4sz6DmqZs24PBHDmthriAtnf0EBS1j/hjD7hDRuJhot3eHoM8947nMWgXWLBUlZg0lFi35RhUmZRxt3I8i5EYI+zGZjCk38NPJePVkk7RjSrpeNDY2otfrU0Pa3d3daLXajOlx6Y0G27Zty+igbXV1dWqGKZP6l06nw2g0Yrfb56x/pTdPnClGs1KByhBKuYwfXlnP1Xc1sXfIw09f7OLWd1Qt8HgJfavbHeX3W0f41Mb4FD0kOzubmpoazGbzcV/UCpnAnVfUc/VdjbQOe/nRfw7xlQXqZcl5sAOjJ3Ye7MCoj5+/1MXXL6tJOXUAbFUPU1tbgdVqJS6KjHvD0+ykJi2m3In/e0MxnIEozkB0yiosHY1CSb4pToHRTaEpfNjkd7KhI8+wuKylTjZHyzkDpgy5hkIhbDYbjY2NBINBotFoRlafcrmcVatW0dbWlsp7ytSgbXrQYib1L7lczrp16+alfyWv50zp8JMKVAYpNGn4zruX8L8P7ePP2wdYV2ribUvmtz0Qj8dRRf18eq2BO1538HibhzJthEuW5VFVVTUv49V8o5o73lPHTQ/u5e87E/rWO+rmr0dlch7sH01DrD/G8WSCQK5BTa5BDRin/JsoirjdbnqHxni2dYw/7Q8DAusLNRizNIkVmCvEmDdMMBqn2x6g2x6Y8TwCkGNQpYpW3B2nQxynMi+a6lDMyqC11MlmtjlnL7300hFbbFqtluLiYvr7+1MrnEw2Guh0Onbs2EFDQ0NGPDphZv0rEyxE/0qupJIfJOrr65HL5aflTsCZ805apFxYa+OjG4r48/YBvvZkOw/n6yk0ze5NOpMesirXxsWlMp7rjXNfa5R3npWHXj//N/251VY+trmYe7f0840n26nLW9j8Vkbmwc4qmbNeFolEppjWiqKIzWbjI5srUJp83LVlgH3jER58z/KUXhaOxhnxhKZoYYdNfhN/DsdERj1hRj1hdiWkL57tGwAO+0wZNIpJ/Ut9RFt9oUmDNUs5J2upk000Gp2SaByJRLBareTl5bF06dI5FZmkhieTyTLeaFBWVpZqNAgEApSXl2fkpjxd/8pUttRC9C9BEAgGg0xMTBCJRBBF8bTs8JMK1Eng82+rYFe/mz2DHi7/9Xaqc3QUmrUpK6FkvEa+UYUiGkh5tfl8vpTxaroeco2vkb5AjNaxIF98tJU//dfC9K3PnF9Oc5+bXf1uvvhoK/f/18L0qBM+D5aulx1lHixdD0nGUySNV1esWIHBYEjtx/9PrsiuAS87p+llKoWMEov2qAU1LooJX8S0bcPGtm6iKgP7RwJM+BOxCJ5glAPBKAdGj+5Qn2+caieV3EJMWEupF/R8zZX0QeNkg0PSjqm+vn7BdkyCILB8+XIOHTrEtm3bWLlyZcZsi3Jzc9mwYQNNTU2pQdtM6DBJ/aulpYWuri6ysrKO/6B5sBD9K70Yna4dflKBOgko5bLEfNQfm/CFYxwY9XNg9CgDrQLk6BLt1CW2fIoUOgqVagqIURANkm9MtFJ/9cICbnq8jz2DHn72UhdfvGhh+tYPrkjoW/uGvPz0xS5uu3j+x8vEPFhKL0ubBxNFEafTyfDw8BQ9pLCwEJvNdlTTYLlM4M4rDutbP3i+k6/PQi+TzWAtVRPrZfnyCiJyLe+7q5EJX4SL67J578r8hEt9Mh9sclU25g0Tjon0OoL0HsVaSgCy9arUTFiuQUWJRZtqry8waTBqFvbWTR8/sNvthMNhLBYLOTk5GRk0FgSBqqoqtFotu3btoq6uLmNdfumDts3NzRkbtE26oe/YsQOHw4HT6VyU+ldyoDc5K3U6FSmpQJ0kis1avvXOGm55tA2AS6uzEKIhRjxhXDEFjpCAIxAjKsKQL86Qz0/T4JFFTABMaoFCU5TqHB1NfW7u3zaAVinn4vqcecdrFJg0fPfdS/jMQ/v4y44B1pWZePs89TI48fNg+UY1333PEj794D4eaBwkOzZBjTbA8PAwubm5U/SQ2ZBrSOhln3zg+PrWbMjWq/j+e+v4xN/28FzbOBfVZfOBtUcOA0RicUY94bQZsODkYPPhQhaMJuynxrxhdg94Zjgb6Ccd6guMavDBvvgw5TnG1N/lGI50qJ++SlKpVKlOT4vFclLE9MLCwik32pqamozcLLVaLRs3bmTXrl0ZH7QtKCggFAqdEv1rLkazMpnstDOalQrUSSCphxSLdi4ohJcH4fUeP7+7soz6svyUuByJxVMJvIOuw/EaSXuhpAbiDIk4R4PA4U/gv3+9l9+/3gscjteYyVLoWPEaF9Ta+K+NRdy/bYCvT+pRReb5v6lPxDxYuh4it9u5qEjkhQGBe/aF+cpaNavq6lJdZHPl7KqEvnXXCZoHO1Y+WBKlPOFZeLTnVRRFHP5Iqmg91DzEm4ccyAUos+lw+CM4/BG8oRgdoz46JrcRXx0aBAZTx1HIBPKMKnJ0CiyqOFmEMMijlFizqC60smJ1FRbjqWmht1qtKUfv5I02E8VRqVSydu1a9u3bl3H9S6vVsmTJkpOuf81l/ut0NJqVClQGOJYe8vX3LGf0sW72D3v58ZsT3F15eD9ZKT+2BiKKInZfhJe3txDXmgkIWvqdAZ7aO4onFEMug1ictHiNmTWQY8VrXLUyn8ZeF/uGvNz6aCv3LVDfmus82PH0kO9vMHLj3/ayq9/NH/cJbFwRP+qxZsOnz09cX2bmweaWDwaJm4g1S4U1S8WyQgMX1tpS82AKmcBz/7OBuEiqaWPQFWL73g7IsjLqizKUbi3lDDHgTLeWkkFngERDxwAGtZwSizZh8mtKfz0kXgumDFpLTb/RrlmzJmODtun6VyYHbU+F/jXX+a/TzWhWKlAniKPNh8ykh/zoKi0fuLuJ5n43v361h89dWDGrcyTjNSrNcgoLDamthOs2FfOBu5rwhGJ8ZH0h719dcFRLodnGawjA7kEPV/6hkQtrbZP6R3JVpj6mDVU6s5kHm6sekpwH6/FE+f2WEb75nvnfcDI5D9Y24uOHL3TytUtPzDxY+6iPHzx/iG9cXkNlto7KbB3xeJwc9wFyc2V4PCH8/gB6gxF0ZsLyLBxhIfW7T99WDETieEIx9g972T98dGup9KKVSmye/HO2fmHWUjM5emei2SBd/2pubqauru6EnyPJyda/5hO0eDoZzUoFap7Mdj5kJkosWm5/Zy23PNLK3W/2sa7UxDlV89umgoS+9e13LeHz/9zPX3YMsrnSynnVMx8vGhcZ9aRpHzMUskAkTrL89EwEuG9r/xHH0cihwHiIYuvIEfEaBUYN2WnxGtPnwdaXmdlYrJ23HpJvTOhl//OPfTy8x845S8YXqJdlcB6scYgNZWYurj9x+WCri7JYm0OqhT4ZB15RUYHFYjlutpAoivynbZybH2lFBN7TkItZp0y9HgbdQSZ8EQKROJ3jfjqPMtQsFxI/a75RjSwo0BwdoMSm54qVsw/7Sw7aHjhwIHWjtVgsc3l6Zk26/mU0GjO2vZXUv06W0ex85r9OF6PZRVugXn31VX74wx/S2NjI0NAQjz76KFdccUXq30VR5Fvf+hZ/+MMfcDgcbNy4kV//+tcsW7YsY9cUjUYJh8MMDw/T3d09ZT5krkF0l9TnsGONkwebhvjK4wd46IY15BnnH1V/UV02H1pXyN93DvLVx9t46Ma15M9wPIVMmPwEfHQNxBlIbBX9+pUeXu2cQCUX2FBmxhFIaCMT/gjBGHQ5QnQ5ZnYnT2gg6sk26sRNbG1RFo0DPm57ZB+fb4hRV2jGZrNRU1ODTqeb05vj/JrD82AnQi9Lnwf75gmeB/vmU+3U58//ePF4nKVWGe9bqufh/V6+9UwH39qsZWlpDmVlZTQ3N1NZWTnrJGhBELioPof/d46P37/eywsH7Kl8sCTBSCy18ko5c0xuKw5NzoVF4+LkyiwEyNg5NoRcgO09Tm7cVMCSgtm9ngVBoK6uDp1Ox86dO1m+fHnGct2S+te2bdtSekym9K9169adFP1rvvNfp4PR7KItUD6fj5UrV/Kxj32M973vfUf8+w9+8AN+8pOfcN9991FbW8t3vvMd3vGOd3DgwIET9kIQRZF9+/axbNkybrjhBm666aaEb5zJRH19PSaTaUEv7i++o4qWATdtIz5u+1cbd127YkFbJre8vZJd/W5ah73c9lgrd39k5ZyPlx6v8dP3L+Wjf9rF/mEv3nCMP1+3CqVcRiAS4/k3dqIw5eJHc/R4DWeQAeeR24iBGNyxS46lPUChaZxCk3dKzEZyNuh4GsiVVXL6g2r2jwZOiF6WPg9266Mnwj/x8DzYLY+08uc56FvhcHjKoLEgCFxZbeGAXcuekQB/6lDw57PLUCtk876hfOrcMhp7XUfMgwFolHLKbbopRSudWDxhLZUsWq8370dpzmN7r4d/7x+jc8zH3z62ek7XU1paikajSd1oKyoqMtZoUF5eTldXVyrR9kzUv2bLYjaaFcTZigmnEEEQpqygRFGksLCQz33uc9x2221AwvsrLy+PO++8k0984hPzPlcwGOQ///kPTz/9NM888wwDAwOUlJRw1VVX8fnPf57Ozk6ys7PnlNtyLHomAnzg7ib84Rj/7+zSI6IqZqKpqYnCwsIZl/N9jsTxvKEYN55VwmdnqW8djfTjfXxzCZ9/W+J4O3bsoLy8fMrAZTwex+VyMTo2zqEhO4POAEG5joCgxR1TMO6P0esI0DNxdO0rnenxGtP1kEP7mjEXVvDf/zyEJxjluo3F3HJR5YJ+3iFXkPff1YQ7GOUjG4q47Tj+iW+88QbLly8/ahT5sDtxPFcgyrXrC/nSxTPrW9Mba9xuNwaDAZvNhs1mw2g0IggJPenquxpxBqJ8cG0hX720mldffZU1a9bMegWVzqgnxNWTeV7XrCmYt3/iSy+9xMaNG/HF5Lz/7iYmfBGuXl3Axxo0+Hw+VqxYMetjuVwumpqayMnJYenSpamtuK6uLlwuF6tWrZrXNabT09PD+Pg4MpkMj8ezIP2rr6+PkZER1q1bd9TvGRwcZN++fced/xoYGGBgYIANGzbM61oCgQCNjY1otVry8vLo7+9n06ZNs3qsKIqpmI/F0uG3aFdQx6Krq4vh4WEuvvji1N+p1WrOP/983nzzzQUVqImJCT7zmc9w+eWX88tf/pKVK1dSUlLCZz/72XndAI5HmVXL7ZfXcOtjbfzxjV7WlZnYXDH/Pfh0feuuSX3r7AXoWyUWLd96Zy1feKSVe7Ykjndumr4VCoWmfNJPWtusra/koqPoIS+0jfH5f7YC8P/OLsGapZrWzBHEPqmBTI/XSEcmQE5WFzlZSjzBKH/a1k8wGuOCmsNNHceL15jOlHmw7QOsX4B/IkydB/vrjkHWl5p5++Q8WCQSSbmGJB3BrVYrRUVFNDQ0zDhonK6XJfPBFqJupM+DnQj/xByDmu+9J5EP9lDzEJX6HNblzu3T+PRE21WrVmWk0UAQhFOif52s+a/Ozs7j6pHpLEaj2dOyQA0PDwOJ/JR08vLy6OnpWdCxCwsLOXToUOrriYmJBR1vNly2LJftPU4ebh7mS/9q4+Eb1pBjmL8edYS+deOaSRPV+XFxfQ7XrHXyYOMQX328jbs/UEMoFKKjo4NQKJT6pF9eXj6reIqL6nL48DoXf9s5yD+ahmbUy0LReKpYJV0YBt2JLcTBNA1kxBsBbyT1uAcbh3iwcSj1tVmrSG0dFpo0k11oagqNiT9bdUfuuafPg33tyXYeOoHzYF9/8gD6qBNFyIXb7U6NHzQ0NMxauJ+ilz3VzhcX6Fd6oufBzqq08LFNhdyzdZBfbB3nzgstzH79lCD9Rptspc4E0/WvTA7anuz5rx07duB0OvF4PHM2mk12+CWL1Kna8jstC1SS6U/abFMoFyO3vaOK3QMe2kd9fOlfbfzhwytSXXDzYYq+9Vgbf1yAvhUOh/noMh1vtMvp90S57m+trLLB2VUmrti0hizt3G/eX5jUy/YfRS9TK2SUWbVHDLomiYsiz726FV1OCX5U9DmC/Hn7AA5/BI1ShlwAXzg+Ga/hpXVk5lZqtUI24xbiOZUWtnU5OTDqW5C+FY1GmZiY4OL8IK8YoMsT43uvjPCzd5exbNmyeXd3petld7fBBRsX1zzY/zurmF0DXpr63Pxkm5sLNsRQK+d2M07eaPfv38+WLVsyVjhgqv7l9/szqn8l578yrX+VlJQQCATmZTQLifvpqTaaPfWbjPMg+UJNrqSSjI6OHrGqOl3QKOX86Kp6tEoZ23tc/GHSFWK+qBUyfnTVUnQqOTt7XfzutdmvLJPxFEkR+fXXX+dA9wDZWQoEwBOBlgl4uM3PfduHic9RxgxEYuzqd/PO5blolDKa+tz8+pXuOR1DJgiY1QLL83VcujSX/z67lL9evwq9Wk4wEueatUW8+YWzePjGNfzqA8v4yiXVfGxzMZcuzWFFkYFcvQqBxEqteyLAli4n/9w1zK9f7eGrTxzg//19b8rsdfegh0t+tZ1bH2vlpy928WDjIK8enKBj1EcwOvVnF0URr9dLT08PTU1NvPbaaxw6dAiNSsn331uLUaOg0xnjofbQglqPk/6JRo2CXi/8+o2B4z/oGCTnwcxaRWoebKHH+8EV9RjVMrpdUb7/bMe8jiOTyVi2bBmlpaX09fURCs3cNXoiSDYa9PT0sH//fuLxhRX9o5Gc/1KpVGzduhWfb+aB+oUiCAIajYalS5fS3NxMX1/fnB6bXM1Ho9FUoTrZnJYrqIqKCvLz83n++edZvTrRKRQOh3nllVe48847T/HVzZ8Km46vX1bDVx4/wG9f62FtqYkN5eZ5H6/MquWbl9dw22Nt/OH1XtaWHl3fOpYesmLFCv7WNIo3NszSAj37hry4w5AHvN7p4PwaG8sLZ7eFMOwO8tvXeid1JZF8g5ruicAJ08u+/a5abv7nVL1sSd7M2mHSWiq9C3EoFbNx2FoKYMwb5pl9YzMeR799D3kGJRYV6GVhzMoYJVY9lflmljRUU2QzpKyl/u9dCj778H7u3zbA+lIzF9Ta5v3zputl/9g1xlnVOQueB/vue+r49AmcB7vlnBy+8Z8R/rajn40VFi5dNvcPkMlBW6/Xy/DwML29vZSWls77uo7FydK/TtX811z1r+R2XzAYxOfzYTabT+pKatEWKK/Xy8GDB1Nfd3V1sWvXLqxWK6WlpXzuc5/jjjvuoKamhpqaGu644w50Oh0f/vCHT+FVL5x3N+Sxo8fJoy0j3PZYGw/duIZs/fy3AC5flsv27sTq4Mv/auPhG9eSrVelPumnd40dSw9p6nORpZKTZ1TjCkTpdwbpdoQpschoG/HOqkCJosjfdwzSMeqjzKJFpZARMcfxhKLYfRG+/PgBHl6gXvaOuhw+uNbFA42DfOUY82Awe2upO587yL9bx9EoZFy6NAdXMMqAw8+QK4QnHMcbjuO1T7MU6vYDfmDwiHiNFYUGdg96uO1fbdzx7iWsKDKQrZ9fa+8FtTbeVgQvDnBi/BOrrXxsUzH3bj0x82DrinS8t1bHv9r9fPVf+1laYKDUOj+ndKPRmNI+A4EAtbW1GWs02LRpE83NzRkPWqyrq0Or1ab0r0yxEP1LEAQcDgednZ2cffbZJ9VodtEWqJ07d3LhhRemvr755psBuO6667jvvvu49dZbCQQC3HTTTalB3eeeey5jw3Anky9fUs2eQQ8Hx/x85fE2fvehhgUF3H3p4ip2D3roGPVx80O7uW2jDkeaHVNBQcFx9RClTEht5S3Jy8LuDRKIigy5Q8z20obdIdpGfOQZVCl9QymXsbrIyJvdThz+yIL1MoBbLqqkpd9N68j858HgsLXUHe+to9eRmAdrHZjgsw0i0ewQFouFEbsLc1EFYYV+Sk5U0ux11BM6aryGPxzjc//cD4BRo6DEoqHYrJ3ijTibeI33lsNwVMf+Ef+JmQe7oJymPjctAydmHuyDy7LoDShp7nPxuYf28MAN6+etb6lUqtQKJxAIZKzRQKFQTNG/1q5di9FoPP4D50H6oG1OTk7GttIWon8lh3pjsRjASZuVWrQF6oILLjjmL0oQBG6//XZuv/32k3dRJwmtUs6PrqznQ/c2s6XLyVk/epPqnKxUqF3MFaEm6mWpzHfMeI10O6aPLxH55rhI86Cfx9plfOq8pXMKottcaeFvOwYIReKolTIqjQKtDpFAJE7rkBdWHf8YwWicaDyOUj71ejVKORU2DZ3jAXb2uvjtqz2pebC4KNI55scVjGDLUlFu1R71jRGJxdk94KF12MPZVRa67H6a+tz85pVu/nce82CBQCC1wry6yM2dYzIO2CO85rRx26V1yOVy3njjDeoKTEedg0rGa6TbSXWM+tkz6GbIFUpZSrmDUfYNedk3NHMzR3q8RrKhI9lK743Aty8r52MPtLN70MPPX+pe0DxYwj8x4Xe4d8jDT17sOu482HSSNzJI6FE/vbqBK367jX2DHn7wXAdfu3zJvK8vKyvrpBnNLlu2bMqgbaaDFnfs2IFcLicej2fUaHa+/ocymSxVrE4Gi7ZAvdWpysniK5dU8/Un2/GFY7QMuGlJ18H3H45XSI/XyDOoMCvj6AihDHswKqKU5ppZVZnPV7JEbv93F//Y7+Xi1TLWW2f/BrikPof9Qx72DHqIxUUCYSgwKBlwR/hH0xAX1WWz6TjzWwVGNbYsFXZfhGLz4U+9dn+YAqOWq1cXcvvTHal5sNrcLP68rZ/2UT+haAytUs7yQgPXri/CMG1FEYnFebBxiG3dDkQSZrflNi1tI76EvlVm4qzKY+tb8Xgcp9OZKkqBQACTyYTNZuPSqiqMZQG+8Egrf99l59wlrinzYEdjpniN/xwYZ0leFq5AhD9tS/xS37U8h1gciswagtH4lKj5meI1pqPY2Ypp8jn507Z+ht1Bzqq0pBU1zZxc1ec6D5YcNB4eHk45+BcUFKRufgUmDXdetYxP/HUXf97Wx8YKC++on39UukqlYv369SfVaPZkBC1WVVVx8ODBRat/ncziBFKBWtRcsTKfN7scPLNvDKNGwUc2FOEKRGjtGcEdUzDmj+EKRI8TryFDKfeQbwxTaNJQatHQ6wjy2Yf2cfs7a6nL05NvPH7EuEGj4NZ3VLG9x0XnmI/hwX7OX1rMvzv9PNoykpjfmtS3joZGKeedy3P58/Z+uux+DGoFvnAUmUzgkqU5XLo0hz2DHv65a5gvPdbG5ctzaRv2UmzWoFWq8YZibOt2olfL+ciGqbHX+4a8bO92kGs4vKLMNagZ84ax+yLc8kgiyr46d+pNLBgMpgqSw+FIDRpXVlZitVqn3CAurten9K2vPpHwT5wPE74wWWo5pVYt51T5eb3TwYvtE3xgdT4X1+dQnz+1qcMfjk2J10g2ciQHm4ddiZkwu//wPNizreM82zo+5TjWLCWFxqnx8uku9UbN1Fbi6fNgD+frp3g4hsPhVGMNQFtbG9nZ2ZSUlKBSqTh48CAulyu1NXZBbTYfP6uMe97s4SuP7ac+30DxAvSt5I22vb39pDYa+P3+jOlfKpUKg8GAKIonRf86GfNfC0EqUIuc2y+v5cCIj0Pjflr63fzmg8tpbnJhMpmIx+MMjIwz5A4RUeoJynV4YkrGA4c/gR8tXsMTivGFR1pTX2dnqabEKUyP1zBqFGiUcs6rTjil79gxTHm2htXVhSm97Ev/auP3H2o45vzWedVWdCo5L3fYGXAEqcvTc16Njc0VZmCqXvbknhHOqbSk3CAMGgXhWJymPjfvWh6ZctzOMR/RuJgqTsFIjAMjXuJxEaVcwBOK8f/+vodfvr+eoiwxVZR8Ph9GoxGbzUZFRcVxB43T9a1bH2vlhoq56wXWLBWHxv3YsuBdy3PptgfodwZ5tnWcK1cdaZKqU8lT8Roz8dIrr1JSsxx3TE7vhJ9fvtLDqCeMQS0nR69iaNKhfsIXYcIXYe/QzCm9OpX8sO41GXRZk5tFZbaOQ+N+bnmklV9dUYnLOZFqrNHr9dhsiU7EdevWpVYxoVCINWvWsHPnTsbHxwkEAmi1Wm6+qIqmXie7+l18/qE9/PXj6xY0byUIAkuWLEk1GmTaaPZk6F8ymeyk6V8na/5rvkgFapGjUx3Wo9445OC7j2znbIsPv99Pbm4uDfW1nHeMeIpkvEa6lVDbsJcXDowTFxP6QDQuMu4LM+4Ls3tw5ptXlko+5cYV80RYEnVRV6LiSxdX8z//2Mu2bid/fKOXT55bdtSfRxAE1peZWV9mnnGwWqOU8+OrEvlRzkCULnuAlcWH7Vp0Sjl2fwRPKDrtwFO/7LYHGPNG0KnkFBrVHBjzMeYNc+vDLdy8EgpysykrK8Nqtc7JDiYxX1bPB+5uoqnPTZ4gsHKONgm1uVn0TgQYcgWxZqm4alUev3utlyF3iMd2D3Pz2+amH8kFyDeqqNbrWVNiYm2pmQ/cncgHe/8aG5+/sAJXIJpadaVHrKTHa/jDsWPGa+wZ9HDJ73dRblJSZNFSllNKsSKLCGpGA72EonHS16cKhYLCwkIGBwdTKxyTycRPrl7Olb/bxu4BNz9+4SBfvrR2bk/gDJSWlqa24fx+P5WVlRm50c6kf2WCdP1r+/btrFy5MuP6V1NTE4FAIGNBi/NBKlCLlOl6yFVlUf7eKePhAyEq1+l4W33ZrD4ppsdrrOWwkP9oyzDfeLKduCjyy6uXkWtQpTrPpt/EJvwRfOEYB8f8HBxLu3l1HNbBkoumX7/aQ3Ofi4YiY2oVlnQo10xzEjjaDaTCpuMLb6/gjmc72TfsJd+oTkWROAMRTBoFtiwV6ZJcbU4Wr3ZM4AlG0SgFhlx+hHiUcDSGShFgmVVBy3icXi+M6qt4+9L5m/2WWrXc/s4avvhoG//uFbm418NFDTM3ScxEiUXLudVWdg94GPeGUSvkfHh9Efdt7efeLf1sLDOfsHmwe7f0s67UzHnVVsw65RHbh0kOx2sE6R51c2jESf+EnxFvBGdEYCIAcSAYE2ibiNI24YHO9A8zcr67qxmLTkm+UU2+QUmRRYc2HsAo11CWY+A/b2zn7LUrKMrL444rlvLpv+/mvi29bCi38PYFzFslycnJSbVSBwKBKUazJ5Kk/rVnzx62bt1KYWHhCT8HnHz962TMf82VU38FEimOZrxaWVnJ2rUW3E938tTeUf6wJ8L62jgL2ci4YkVi3uqJPaP83787ePjGtSwtmLlFPxCZroGE2HNoAB9q7P5YKl4jyZtdTt7sch5xHGuWMhWlkR4tntRD0uM1PrSuiKf3jbGr381rnROcX2MjHI0TjsV5V4PtCBPY6mwNy2xytnSN4w1EmAgkinORWcPSYgsqpRy/bIKOUT+/fqWHd9TlLGi+7NKluWzvdvFQ8xDfer6XleU5c/JPrM7JosyqxRWIopQLGDUKAuHYCfNPTJ8HO1Y+GCScAjxOB0G7HdFupzASYXmFFdu6Mmw2GxqNhlhc5Pan23msZQSdUsaH1hXhDR1elfVN+AjFBBz+CA5/hNZhAEfaWdyAgHLHbvINKsqyDdTkZtEx6uOWf+7lyU9vosg8fz0qidFoZPPmzTQ2NtLY2Mjq1asz1miwcuVK2tvb6erqyoiRdJKTpX/N5H+YCf1rLkgF6hQSj8dxu90z6iEzGa9+/dJq9g166J4I8INXh/lDWeG856MEQeBrl9awd9BDlz3AVx5v49fXLJ/xeFqlnAqbjoq0bKAdWWOUl5eRk5NDLC4y5g3TPe7jq0+0M+oNk2dQUZOTxbAnEWjnD8dSGsjRWqmnx2tsKDNxaNyPOxhle4+TC6qtvG1JNufX2BBFkXg8zvDwMIcOHcLj8dCg01G03MRYWMW2fj/uUIxVRQbkkzM81dlZDLtCuILRWellkHC+cPqjGDQKCk3qKb+PW99RyZvtQwz4ovPyT1TKZVOK5In0T4Sjz4OJoojf75+SaKzVarHZbNTX1884fiCXCXz90hraR3zsH/bS1Ofi7o+sSM1HvfTSSyxduRZnRMaQK0Sv3cu4P8bBIQfDnhDOiIwxT5hIXKDPFaHPddiE2R+OcfNDe/nLx9cuaN4qiUajSd1okx1+cwkTnS1J/SsYDDI0NMTQ0FDGgxYzrX9N9z/MpP41G06LPKhTycTEBDabjf7+foxGIy0tLQvKg5opiC6Z+TMbPeTAiJcP3dNEJA5feHsF129a2JK/fdTHh+9tJhSN87kLK7jhrNkdb6Y8KICOyeMFo3E+e0E5N55dmvD2C0ZTOljSSmh6vMbxEIAcvQKrGozyKEZlnCKThpoiG7VF2ZTlGFMrqwMjXv60tR+HP4JBqyAQjiMIsKbEyG9e7SEQiXPTeWV8aga9TBRF9g56+PvOQbrs/tQ2aUORkfesyJsyNPvP51/nzmYIROJ86txSbjqvfFbP39FIzwf7xDml/M/5xz/esfKgeieP5wvHuHZ1NldWybHb7YTDYSwWS+p1p9PNzt0hPR/shrNK+NzkfFkyDyp5nFAohFqtpq+vL5UHFY7GGXYH6Rx2snX3AbyiCreQ2JoNRuPccHYZt1589DyqueZBxeNx9u/fz9jY2BE32p6eHux2+wnRkPr6+lI/Z1VV1YIaDY6XBxUOh2lsbEQQhOPOfw0NDdHT0zPrPKh0RFHk0KFDdHV1sXLlSuLxOJ2dnZx11lnIZLI56bYLQVpBZZik8WqyKHk8ntQqqbS0FIPBMKcX85I8PdfWq7lvX4ifv9TN6hITK4vm/wmnNjeLL11cxbee7uCXL3expsTI6pLZ6ynTqcnN4suXVPHNpzr41SvdrCk1sabEhEmrxKRVUncUDWTGeA1XkAGHn44xP+5QHBEY9UYZTS3AZDAQhv1DQCJiQ6OUoVXKydarKDZpUClkuAMR8o1qzq22cUGNFatOxVefOMDvXuthXamJ9WXmKdeypcvBb1/tYdAVQqeSIQgQjsVxh6LIZYntxyT5OoEvXlDEt5/v5XevJfwON5bPv9V5Lv6Jx8IXitI96mLC4eQDtQru3Rvjb83jVGSZefuyWizHaKw5Fun5YHdP+ieeM0u9TKWQUWrVUWrVcXZ1Nk1NTYhigEvrl3DzI63c/UYPG8otXFB7YlJnk40GXV1dGR+0ValULF++PGUllEn9ayGDtrNluv6VKZ3teCyOVo0zjEgkwvDwMPv27eP1119PtXAWFxdzzjnnsG7dOioqKlIpqXPlghIFF1QYiMZFvvhIK67A8Vcfx+J9q/K5bFkOMRG++GgrTv/CjnflynzeuTw3dTzHLI6XjNdYX2LgnCI5b88LcrnNzvVlbn57sZG3VyUKm0Wr5JuXV/P5t1VwQZGMzWUJLUOjTLyUg5E4Dn+EjlEfL3XYebHdzhuHnPxz1wife3g/G3/4Jn98o5ccvYq4CP/zj338bccAO3qc9DsDjHtCPLV3FGcgSq5BRY4hMVwciMQJReMcGPEx6pnqqH3xEgtXrcxHBL702AHGveEFPX+XL8vlfasmj/evNsY8s3PwjsVi2O12Xmlq5ddPbuOvL+/mpfYxVBod51aaEIHfNPmIqw0L2h5K5IMltrK+8vgBRtxzdxhPNhpotVr0zoNcszphInvbo/sYds0ucXk2CIJAZWUly5cvZ9euXfT2Liwl4Fgk9S+Xy0VjYyPRaPT4D5oHyfmvvLw8tm7disPhOP6D5klhYSFr165lcHCQYDB40h3NpRXUCSBpvDo+Pp5aJSWNV1esWIHBYDihn6YEQeBz5+RyyBmh1xHka0+084url857W0EQBL55WQ37h7z0TAT42hMH+OUHli3oeOl62VcfP8Cvrlk2o751PD3EZDIhl8u5oy7GB+9posse4IU2O7/54HKWCgPU1pah0Zv45lPtjHnDWLQK/OEYvnCMIXcItVyGRadkyB1izBtOxWsk8YdjfO+5zsPXDijlAjJBQKuUoVbKUSsERBHGvWGMKjneUIzcaf0kX7qkit2Dbg6O+fny42387oPH17eORfo82LH0rUAgQDwep729HbfbTRgFB/xZmKzZrKwzoVAo8ASjqLJC9LvCdNkDfOlfbfxxoXljF1XR0p/Qy259rJWPFh//MdNJNhp0dHRwVriXXblaDowGuPnhvdx//RoUJ0CPSlJQUIBGo6GpqQm/358x8f9k618na/6rtraWtrY2WlpaWLlypbTFt9iJRCI4HI7UjTVpvFpYWIjNZpsxrvtEkqWS86OrlnLtfc283GHnLzsG+OiGedwlksdTK/jRlfVce18zrxyc4P5tA1y3aYHHu6qea+/bxWudE/xpaz8f25zQt2Kx2JTnLhwOYzabyc7OZsmSJTPqIbrJn/fDk/Ng927pZ9nk/avL7mfcG6Zw0hHDpE28efKNajzBGF+/vJpis5ZwNM5I2kzYvkEPDzUPERPBpFHgj8SIxMTJiA2RYDQOgamfgrvsAbb1uigyaSgwacAfZ2l4lMr8MP/v7FK+8WQ7W7uc3PVmL5845+jzYMdDM+nH+MF7mlL5YJ86r4x4PI7L5Uo9d36/H1EU0ev11NbWMuCD3oMTlNsOexYaNApcwSgfXlfIT1/qZkdPIh/s07PQt45GMm8sOQ+WLQqcNXepA0EQqK2tRavV8sFAGz90yGnsdfKLlw5x80XV876+mbBYLKlWarlcnrEipVAoWLNmDfv3708VqUwO2ia34QKBQMYGbTUaDVlZWQSDQZqbm9m8efMJP8dMnDYF6vbbb+db3/rWlL/Ly8s7IrQwUyRXSYFAgN7eXtrb29HpdNhsNpYtW4bJZDrpw231+XpuvaiK7z57kJ/8p4tVRUYaFqBH1eXrufUdVXzn3wf52UtdrCoxLkjfWpKn57Z3VPHtZzr4+UtdFKmD5Mp8OJ1OVCoVNpuN2trZ6yG1uVl8+eIqbp/Uy76wRkEtIBcEBIEjghPjYmI+Sz75hlUppsZrXLEyn6WFBr7xZDueUJS7rl1Btl7Fz1/qotsewOkPExchKooEwnHiokhcBG8oxoFRXyrQ8OWBwxpYkl+90sN/DthZkps1NWrepCHPcHxrKYDK7Kn5YJaYnQKZJzV+UFFRgcViYcuWLRQWFqLX64l6PAgcOWOmlAuYtEq+cVlNooNxUt86nn/isSizarn98hpufayN5/sF3tXj4sL6+UVplJSU8A6Nhj5fC/e0we9f62Z9uYVzq+eflzUTyUHbLVu24HA4Us0cJ5qTqX+lz39lUv+SyWSsX7+eQCBw/G8+QZw2BQpg2bJlvPDCC6mvM9FmmY7X6+XRRx9l6dKlvOMd7+DOO+9EoVBgtVpZvXr1KZ8RALhmbQHbe5w83zbOFx9t5R83rj1mNMPx+MCaAnb0uHi2dYxbH23lHzesSa1I5kJy0Hil3sP6PBk7RuLc8dIwv35PMetratDpdPP6pHfVqny29zh5et8Yf9wb5ZwVUSpzzRSaNPQ5Aim38/ikg8bKYuNR539g6jzYlybztz6yoYjHWkbotvtxBiKEoyKlFiXXrCngwlob475IwsjVFWT7/k7iGhPj/jiDriBj3kRRA2gd9tI6fGRLvQBk61VH2EkVTg415xlUEE5se+YF7GzMjbNtVMZvmvz8+SMNlOZajvrcmbVKFHKBYCSWGoyOiyK+UIyl+XpWFZvY0ZPIB5uNf+LxuGxZLtt7nDzcPMw3n+liebF1TvNg6eTk5HDTuzbS6d7OK4Mit/5zL499alNqSPtEoVKpKC0tpbu7O7XCycQcU1L/Sq5wlixZkrGgxfT5r+SgbSaQy+Unte38tCpQCoUi44aGTqeTe+65h6effppXX32VkpIStFotX/jCFzj33HPZt28fZrN5URQnSLwJvvXOWlqHvfQ7g3zjyQP89H0L06Nuf2cN+4c99DmCfP3Jdn7+/tkdL914dWJiAqVSic1m4xuXVXPTv3rpcwT5XbOfX1TPrzglr+8bk3pZ90SA7704wO+uzeGDawu5+81eOsf9CEJi1qfIrOH9qwuOea4j58EO8JsPLifPoGb/kAeHP4JJq2RtqSk1OGvWqajOSXROFQW7WL68LBW3EYnF6Z0I8KkH9zLkClFq0bCu1MSwJ5zKiQpG44x5w4x5j24tpZFDTpY8UbTy8rF6HUz4I3zpqW5+8j4duQb1jBpSvlFNZXYWB0a86FRy5DIBTzBKnkFFZXbimm+7ODFvNVv/xONx2zuqePPAEIP+w/Ng88VgMPDDazfz/t9todcT4eaHdvOn69eeUD0KEqsBo9GIXq9n27ZtrF69Gqt1/u4dx2K6/rVkyZKMbcOl61+Zcp04mZxWBaqjo4PCwkLUajUbN27kjjvuoLJy/rk3MyGKIi+88AJXXHEFv//971OzIpdddtmisP6YCYMmoR995E+7+M8BO3/bOci16+dv5aNXHz7eS+12/rpjkI9sOPJ4oihO0ZL8fn8qnqKyspKsrKzUG/HHV+lTetmftw/wXxsXrm998J4mtvR4uH9bP9dvKuG2i6vZ2evE4YuQa1SzrtSELev4q4OZ9K0bziqZV5KsUi6jKieLX39gOR++t5leR5ArV+bzrXcl8o9EUcThjzDkSswDdQ476J/wMewJ44rKcYQE3KE4wRj0uWP0uX3Qd9ilfu+Ql4t/tR2FTCDPmNg2lAVgZ2iQsmwDBZMuHUaNgn5HgEhcpKrESE1OVmplrVXK+fFVS/ngPU1s63byhzd6Z5wHmy0apZyPLYnzk71Ktve4+P3rPdywcf6CvUmv43cfXc9Vv9/Ozl4XP3+hnS9cUjfv4x2NZKOBTqejsbGRZcuWZaydOl3/CgQCrFixImNBi0n9q6OjY9F8kJ4vp82g7jPPPJOy+RgZGeE73/kObW1t7Nu3L+WmnAlO9KDuiaCpqYnCwsIjVpN/3THA95/rRCZAjl5FmVWb2kIqmIxZSNoMzUYD+duOAb73XCcKmcCfr1vF8kJDyo7p4MGDxOPx1JZndnY2FovlmN09D+wc5LvPHkQhE7j/v1YuSC8DuPPhN/jLgRgKmcB9/7VyQXoZwMPNQ3zr6Q7kAtz70ZWzmgd74403WL58+YyBhY/sGuKbTyWOd89HV9KQr0vFU9jtdkRRxGq1pga1k0OXR8RrTHoi7hlw0+OYfQt2Il4j3Q9RMyVm45WDdr72RDsyAe66dsUR82Bz4aWXXmLCWM3t/+5CAH7zgTrOqcmdMqg7V55oGeSWR/YjAL98Xy3VhticBnWPxfRB3bGxMVpaWqioqJiz0WxfXx8jIyOsW7fuuN8bDocn579E1q5de8Sg7fEGdWeLKIrs3r2boaEh1q5du2D9a2RkRBrUPRaXXXZZ6s8NDQ1s3ryZqqoq/vSnP6Xi4N/qfHhdITt6nPzngJ0RT5gRTxhwzfi90+M1khpIerzGh9YVsn3yeJ/9x26+vl5BPJSwY5LJZJSXl1NSUjLrN/N0vezBeepbSc4rkjEY0/PiQRdffKSVh25MHG/cG+Y/B8bZM+BBo5KxucLCedXW49rovG9S33pm3xhffLSVh29ci1k3u+vzh2N0jvkIRuPkG9UUmzVcsSKPNw6O89wBB597cDdfXBElz5wYP2hoaEg9j9M5WryGKIp89YkDPLFnFFuWktvfWYs3FGVLywFk+mzG/IcNX6fGaxzdWsqgluMJxbjpgb18ZEMRVTm6VAHLMajnZLV0Wb2N3UMBHmkZ5mtPdfLwjeZZP3Ym3r2ykG3dTh5qGuTLjx/gJ5fkYMzQfTEnJ4cNGzakGg2WLVuWcaPZpJVQpvSv3NxcXC5XxvWvTHLaFKjpZGVl0dDQQEdHx6m+lEVDUo/aN9TIsDvM8kIDF1RbGXKHUjeupAZyvHgNnVKGTSOQJYuhkcOoL8av9iq49R0rKM420NPWglZ79Pj1Y13fYb2snZ/NUt862vFuOb+Qg/ZQah7sa5dWcefzh+iy+1ErZMTiYsKPbsjLp84rO6bWMt95sK6JIM93jjPkCiWiusUolfo4y/U+LrHG2aOXM+SN869RC7+6sOEIV/e5/LzpetkDOwf5zQeXY5w4wJo1pakbXdJaanCandT0eI1AJJ46djAa5643+6acTy5AnnFqA0cybiW5KtNO+1mmz4N99WzzvH7WJF+7fAktA27aR7z88LUxbt1w4meKkkw3ml21alVGVgrpRrOZ1r9UKhUNDQ2pKI1MGc1mitO2QIVCIVpbWzn33HNP9aUsKkxaJT++ainX3d/C3kEPV6zI4xNp+oIoijgD0cOWQpPbR712LwOORLyCJwz+SJzpBhAHxkPc8Pf9QOLmlaM/SLFlcHLVlbxxqVOGrzPdiNP1shfbF66XTZ8H84aiTPjClNt0qWLkCUZ5/dAE59VYWXGcbcC5zoMFInGeaxlhzBPGrAgTDoWJCHJa/CoqC0q5dGUJYv44t/3rANt63Pz3X/fwoXWFnF9jJUs997ffdL3sni19TE9TEgQhZS2VHq/hD8cY84ZRyATMWgVj3jCDrhC7B1z8/vU+onGRIrMaEBhxJ1J6E0UuRFOfe8brMWkUFJo1KMMy3gz0UmLT8/5VBfzkxUNs7XLyoBHeWz3/LkGNUs7Prm7g/X/YTrsrxj/b/GTbWqmrq8t4o0HS0TuTg7YnW//y+/0Z078ywWlToG655Rbe/e53U1payujoKN/5zndwu91cd911p/rSFh0riox87m0V/OiFQ/zg+U5WFhlTHniCIGDRKdErIVvmpyDuxh6ys6lQxLo8oYfoDCYmQqQ0kEFXkNcOTtA2khDr5QLERBj2RBj2zLyFCGDVKWfUPgpMam46r4xfvNzNj144xKoiI8sKZ476OB6iKNI+6qXApKZ3IsjOXhdZKjm5BjWGyaYAg0aB3Rembdh73AIFx58HSx807nFFODQ8QalZg0GvR5urQ6lU0O8IcsARo2bczxuHHNTk6Ggb8dEy4EYmg1FPiI9sLJ6XW3n6PNivXu7mfxvgeJanu/pdvHnIwYQvgnwyhuSiumzOqrRwVqWFPKOGbzzZzpArxD0fWcmqYiPj3nBK/xp0hdg/5OHgmA93MIo7GCUcE3EFo7iGvYDA7olRYHTKef/S4uSZdhn1u5oSeqhZQ6FZm8ooyzOqj7v1WpWTxTffVcdtj+zj330ylrWPEAgEWLlyZUYbDVpbW6cELWaCkpKSVKJtIBDI2IB/etDi9u3bZ9S/FiOzLlD3338/n//85xkcHJzyJL7vfe8jKyuL+++/PyMXmKS/v58PfehDjI+Pk5OTw6ZNm9i6dStlZfPvPjqT+a8NRezscfJyxwS3PNrKAx9bhRg53AbudrtTdkwz6SEmPZRbtTyyazihabmDqBUyQtE4BSYNn1wqYszOxy9op6SzDrmDh+M1/BEm/EeP15AJicTf6//cwiVLsym16A4XMpOa3KNoIHZfmAMjPg464ox0ufnLrgn0Kjm2LCV2XyJc8cBoohip5LKUf9hsWqldgQg7e11EYnEaCg3sGfRw66Ot/OnD9UR8CQcHh8OBRqPBZrMRFxQYTUaKCs1TjqNRyvCFYrze6cAdjHJelYVoTOTguJ8DIz7MOiVnjfupzZ2f0Wf6PNi9bXDJpihHkzI6Rn38e/8YcplAsUVDNCbSZffz+O4R3rbERjgqUp+XxaVLc/j3/jFufSyhv+VNBkWuKk6Yzz69T8HGCnOqM9IfjtE67EUlF3AN96KxFjDmjydeA84g45MO9fZAnNc7J2a8NpkAuQZ1onCZNBSaEo09ReZEMSswadCrFVyxsoD/7O7luYMe7jsgo8wSYvv27axZsyZjg7ZLly5Fp9OlEm1zc3NP+Hlg6qBtJlZrSU6W/nUimXWBuvrqq/nf//1fHn/8ca6++moAxsfHefLJJ/n3v/+dsQtM8sADD2T8HGcSgiBw+2VVfGDQTc9EgM/8eQvX1YhYrRby8/NZtmzZcVtQ/75zkJ+91IUoJpwIBBKaRb8zyL865Xx/mXbGN+3R4jUOfxpPxGskB1qD0Tj/2j16xHFSN6/JbcN8o5ohZ5B9Q17CsRixSJRY2xAalZzaXD22LBVbu51EYiKuQBS7N0y+Uc2EPxH9vrL42KunQVeQ373WQ8+kV18sGkEth0FXiJsfbOaLm4xkZ2dTW1ubsmPa3T2KOiTDG4qin9yyS7aSryo20ucIYtYqkclknFdtZdQbxh2MsnvAzag7OO8CNX0e7NvPdfPbD6+c0e9wz6CbcDRO1eTsllIOJWYtW7odDLtD2LKUCAIsL9Czb9BDnzN4RD6YMxDFE4pSYjn8mtGp5CzJyyIYibMkLnL+WSXodDri8TgOhwOZWs819zQy5IlSk5vFJfW5qYDDQWeAQVeQSExkeFIjbTpKQ49Jq6DApMEgj5GlFBj3hbnngIbb1qsyPmhbUVGBVqulpaWF2trajH0gNhgMqQ/d0WiUSCRy2utfJ4JZFyitVsuHP/xh7r333lSB+utf/0pxcTEXXHBBpq5PYg6IoojP50utklwuFx+rU/PDJtg5CpetqeGCFbPb5w5F49y3tR+ALHViG0WlkCEIMQKRODtGYjzR6uSGGQpUugZyvHiNNzon+MHzncREWFFoQKOUJVwaJjWQ5M2Lo2ggEEXwR/GH42iVMnL0KgZdIeIiHBr3EwjHyNIouGJFHlXZx7bheaSpn/YhJznqONFImCy5QNiooNMRZc+EwL5ILh8pmaqX5elgmUbHnpEQBk0UlULGhD+KSavk7EoLT+0bY2jSnVulkHFxXTaPtAwz7o3w+J5R6vIN83ZySM2D3d3Em93u1DzYdCZ8kSP0rjFvCKc/Sk12Ym4rLooMOINcujSH+7cP8Hqng/u29vPxSf9EuUxAPrniVckPF8FITEQuE5AhMjo6itfrZWJiglgshslk4qvnZXPzv4fpGPXx7gYZd1yxNPXYeFzE7gunolUGnYcLV6KpI4grEJ38b+oqvLnfzdbaSi4qzGLr1q2sXr06Y+Mm+fn5qNXq1KBtJvWvyspKOjo6zhj9a6HMSYP67//+b9avX8/AwABFRUXce++9XH/99adVV8iZRroeMj4+TiQSwWKxkJubS319PVqtlrCpj5++2MUPXjjEymIjS/KO/2mz3xHAHYxOuRlBojU5HBOJxUV+vWWEs5cUHrUIHYtkvEaZtYhoXOSHLxyidcTLX69fTX2+nrgoMj4p4g9Pbhs+1jLMsDuEIAiEIjFikyswERJR49PO4Y8knMtzDWqebxtn76B3yhZinkGFJhbA5Zygd3icN9tC6FRKdFodGosZhUJBTixOGBe9jiA//s8hVhUbWZ6ml8kEgXcttVGWG6Wxz00oEmNFoYFzq61U52Sx3hvmoeYADn8Es1aBVinDlqVkzBvh3/vHmPCHefuSbK5cmT+v7r4leXreXwUPHOSo+WB5RjX9zmDK8ikuJgq/Ug7mye06mZAIZeydCHDjWSX8+tUefvFSIh9sVbGJbH0iemTIGaTYokUugNPro3PQSaE6iFWZmJXJzc2ltLQUuVxOS2sHY+MjvLdGy0NtAX7+0iHWlllYNzlvJZMJ5BgS7ewri2fWeLzBaKpY7e7sp8/uozugpKXfzS9eOsS669dSV6elqamJpUuXZmw+0WKxsHnzZnbu3EkwGMxYo4FcLkev16PX60+6/jXX+a+TwZwK1OrVq1m5ciX3338/l1xyCXv27OGJJ57I1LVJHIVk7s/w8DAOhwO1Wk12djZ1dXWYzeYj3jjXbypmR4+T1zsd3PJoKw9+fE0qefZoGDUKhMlmiPQXSVwEpQxK9QJdbnHyeKvn1ZGW5KMbitjR4+LlDju3PLKfB29Yg16tINegnrQXStxwt3Y5UMoTqySA8QkHvd4jDMenEBNJbDEeJbNIACwaGTkGFY6wmixBQTwgoItF0alENIrE+XINanb2urhl0p8w3e9Qo5RxUV0OF9RmE43FUStkqTf6+jIzo54wO3tddIz66HMGkQE5WUrGfBF2D3iIRkWUchnvXz0/94Vz8mFcZuGFdseUebAkK4qMtI946bb7ydGrCEXjjHrC2LJUCd+/SeQyARG4sNbGIbt/ch6sjYduWINZp2R1YRYvTDjY2TaC3x9AJkBFjp6zl5TQffAADQ0Nqa3Pff0OBmS5HHAFCAV9LMs3sG/Yx80P7eGxT23EOguHDwC9RkGtRk9tnp5SpQeXC1atWsVtj+zjsZYhbn54L//61EZWr9akHL2rqqoycqPV6XRs2rSJ5ubmjOpfgiCcVP3rZMx/zZc5X8mNN97Ivffeyz333MNFF110Rvg9LXaSBam9vZ0tW7bg8Xjwer3YbDY2btzI5s2bqa2txWazzfipTiYI3PGeOnINKrrtAf7vmY7jBo/lGNRsrrAQjYtEJ8WieFwkGImTb9TwmVUqcrIU9EwE+PYsjncsBEHgO++upcCoptcR5NtPz3y8qmwdgUgs9W+eyMzFSQCsOgW5k4VsWZ6OVXkqTCrQyUVMKsjWyVHJEzfkiWCcA2NBRr0RuuwBGvvcvNbp4NnWcf61Z5SWAQ92XxiNQsaAM8j19+/imX2j7B5w4wqJKRd1hUxAo5RPuTkq5TLeuyKP/zm/jHevyMOiU7Km1MSFtdno1XICkTh9ziDbuhLNFPN7/uBLbyul1KJhyB3ia0+0T3n+yqxa3tWQR5FZgyMQJRyNs7zQQIlZO6UJxRWIoFXKsWWp+OZlNZRZtQy7Q3zhH83s2LGDtl3bqVA4OafcwBWbarnx0nV89O2rqSwtmvIzj3vD7BrwJKI0CsyUW9Us03kxa+WMeEJ86dF9xOMLM7D5xjuXUJmtY9QT4tZH9mG1Jt4L/f397Nmzh3g8fvyDzAOVSsW6devQ6XRs3boVr3fmBqCFktS/GhoaaGlpoaenJyPngcPzX263m8bGRiKRhQWWnkjmXKCuvfZaBgYG+OMf/8jHP/7xTFyTBIkguv7+flpaWnjttddoa2tDFEVqamowmUyUlZVRUlIya1dwi07JD66oRy7Ak3tHeaxl5LiP+dLFVVRnZxGOxglEEtqTNUvJ995bh1kj4+tvL0IuwNP7xnhk18JiT0xaJT+4sh6FTOCZ/WM83Hzk8d65PA+9WsGAM4gvFGU8zfU/qZEk77e+UIx3lMmRCbBvxM/BiQg2vZrSbD1ZWjV5Ji1///hqXvrsJv52/Sp+fFU9120sptSixaRVkDVptAoJ3aXLHkjkQwEdY35ufayNa+/bxW1b4rz9t3t452+2c+Nfd/P1Jw7w21d7eLRlmG3dDnonAkRiIvlGDcVmLQq5DJNGiUoh49wqKzIBRr1hOsb9C0pGzlIn5qOUciGVD5bOkjw9H9lQzA2bS7jhrFJuPKuEYouGQ+N+xjwh+p1BJvwRluRoiPud9HS2c21FEIUgsn0gyFaHjrPOOotzNm/kvNV1rKvKp9Sqm7HLcsgVJBCJkZ2lQiaTodXqWLWkjDWWKAoZvNJh5543F3bDzVIr+NkHVqBWyHjtoJ273uhJNRp4vV527tyZsRutXC5nxYoVFBQUsHXrVnw+3/EfNE/y8/NZt24dBw8eTN0DMkFy/ksQBLZt23ZSIzWOxZz3ZYxGI+973/t46qmnuOKKKzJwSW9NkvEUyQaHQCCQMl6tqqqaYrw639jqtaUmPn1+Ob94uZs7nj1IQ5Eh5co9E7kGNfdft5I3DznosvvJ0au5sNaGTiVnxwAsz9fxmQsq+NlLXXzvuU4aiozz7koDWFVs5H8vKOcnL3Zx5/OdrCgyTNHLlhcauPltFfx95yC9jgDRyfdq4h55+I0rkshtWpav56KohucOOPBFRHRqJVlqBUZNosg9vW+Mz11YQbZeRUNRIsr8Q+sKefPQBN32ADa9ihWFBkxaBcPuhBv5823jbO12JlZpWUomfBEicZFeR5DeY/jkZWepyNErmfBHGHYlOud0Kjl1eXr2D3s5NOZnyBU6pkHtqCfEG4cck63dMtaUGNlceTjPqT5fzxcvquKOyXyw1cWmKXqZQiZMaci4uD6HtmEPXaNu1BE/ufgJ9XXRNZHIObt043KEbD/ffbaTexonOH9ZiBVFx9/SCsXEI7oJLRYLq2pERPp4aRB+8kIna8vMrC4xH/d4R2NJnp6vX76Erz3eys9eTBxvbamZDRs20NLSkurwmykAc6EkgxZ1Oh379u0jK2v+r/vjka5/nQyj2ZMx/zXra5rPg4aGhrj22msznhp7ppMeT+FwOFJBdJWVlVit1oy4p99wVgk7exNDm194pJW/f2z1MfUopVzG+TU2zq+ZuUPqY5uL2dk7qW89sp8HZqFvHYvrNhWzo8fFa50TM+plmyoSIvuhUTef+GsLE8HJYEIxsdWVqFMCliwVF69bQn+4l1c7XQSjcTrG/CwvNKCQCaiVctpmyGoqMmu4es2RHU01kxLA1WsK+OzD+3mp3Y5OJefLK6OUVdfhFZWHrYRSrfVHWkslCHPIPvX4IvCJv+9hfamJ0kmT34LJkMMCowZRFLlvWz99jiAmjYJoXOSRXcN0TwSoSNvN+uDaAnZM+h3e8sj+GfPBotFoqrFGsNspiUQmTWsTadDp4wfXrDWzo9fFc62TeWOz8E+06pTERZFI7PCFxeIicpWaT16yAu/Te9kxEufzD+3hsU9umrXf4Uy8f00hW7scPLlnOKVvWXQqVq9eTVtbW6pIZepGW1xcjMfjobe3l4MHD572+tfJnP+aDXO6A05MTPDcc8/x4osv8qtf/SpT13TGEo/HcbvdqaLk8yWMV5PpqHq9PuNdNAk9aglX39XEoXE/dzx7kO+8e8mCjvfddyeO12UP8N1/d/Dd98w/GkEmCHz3PUt4/12NKb3sjvckrm/c4aKtb5SozwUhL/UmgR0RGeF4okglF1FyAb7w9grUk/HvZq2CCX+EUDROt91PVbaOSDSxXXksDo75ePOQA6c/QplNy7lVVqxZKv7vXbVcfVcTfY4gD3QI/HS1ErPZPOMxUvEak7NgPRN+3jzkoHsigD8cIxSNE5lsR4zGRbZ0O9nS7ZzheQGVXIZZq8CgUaBXK1DJBV5qH8ejh4ZoHD2H/Q73D3sZcAb55pPt/PiqOgKBQOp153Q60Wq12Gw26uvrMZlMR/1ELggCt19ey/6h2fsnFps1lJg19DmDRANRwqE4cbufYouWJYU2fvHRTVzxmy0MuULc9sgefnft6gX5MX7r3XXsHXTTbffz5Uf3J+bBZDLq6+tTN9oVK1aQl5c3r3McD71ej8lkor+/n0AgcFKMZk/m/NeSJUtO2WJkTgVqzZo1OBwO7rzzTpYsmf9N7a1EKBRKRSxMTEwgCAI2m42ysjKsVutJs61Px5al4s4r6rjxr7v51+4R1peZeO+K+QdBWrNU3HllHTf8ZTeP7xllfZmZK1bO/3gWnZIfXlnPx//cwpN7RylU+nB5/Lw6GCcYl6FWyDmvppBzS+y4BCUD7gjBaJxoTEStlPGhdYVcvixxMzqnysqjLcOIwIgnjN0XQSELoFHKefuS7KNew0vtdu5+sxd3MIpMSDRTPN86zq3vqKLUquWHV9Vz/f0t7BwT+de+CT68yYgockSMiSAIWLNUWLNULCtIbLfdcFYpTn8EVzCKRadEIRN4pcPOl/7VRlyEsyvNWHQq+p1B+hyJFvW4mBhoHvaEGfaEp5xjF3BX2y6sWUoKJo1dVxbqGXIFeeHAOF/8yxu8rSBGYbaJ7Ozs1AzMbDFoEvNWH52lf6JKIWNjmYl+T5SmDi9EBdaVmanO1aNVydGqdPzmI+u45q4dvNwxwe9f7uCTF051FIzG4vjCMZRy2XFX5Hq1gp9/oIGr/7iDl9rHuffNXj5+dhmCIFBeXo5Go2H37t3U1NRQXl4+6597LigUipSV0M6dO1m9enVG3tsymYwVK1akZqUyOWibPv9lNpszpn8dizkVqO7u7gxdxpmDKIpTVkkejye1SiotLcVgMCyKWYP1ZWY+dW4Zv361h+/++yDLCwwpp4H5sK7UzKfPK+eXr0zqW4VzP176oDF2O5eXxHmiV8Y9u3zoVHJUCgUGrZxwTOS5Njstmhg5Jg0DnihqhZxlBTr+a2Mx51UffsOWWrV8+rxy/vBGL8FIHFcwyqgnzLUbiriwduZtS1cgwp+39xOMxFIR8rG4SK8jwAONg9z6jipWFhn57IXl/Pg/Xfz0lX5ePuQhSyVneaGBdy7PPW7YoVmnnLK1ddmyXEa9YX70wiG297j48ZX1vHzQjlIugJjQuOJxkaqcLGJxEU8oijeUsJMKR2JERVLxGtOtpZ7rE3muT4ZW6aPQFCPf6DzsTp7mkXiseI1lBQa+8PZKvv9c56z8E7UqOcsLdRijTnw+WDlNa1peZOLLl9byf0+384tXelmWq+HcZYk4iEPjPvYMuHH6wyhkMiqydaw6jlZVl2/gK5fWcvuTbfz4hYOsKTWzajLPKz8/P5VoGwgEqKs78eGHkGg0SOpf27ZtY82aNRnXv06W0ez27duJxWLEYrGT2oZ+2pjFLmYikciUqPNkEF1xcfGUILrFxn+fXcrOXhfbup2874+NlNm0FJm0U3KiCiYD73L0quN62d14dgk7e51s6XJyy6Ot/O1jq4+IY5hOuh5it9uJTOoheXl5fK2+HvujB3mzy4EvHCPHqEYmCKiVCU2j3RFlwOfHoFEQiYkcGvezs9d1hF52Qa2NVcVGdvY6+f3rvbSN+Hi9c4LPnF9+xKdzURT5+85B9g95kQkw4Y+QZ1CTo1dh0SnZM+jBFUjEwF+1Kp97Xu/CEYK9Qx5WFhl5ud3OwTEft1xUlRqMnS3p/olffeIA1TlZVOdmJdrXVYpEW3sgwtmTjRGD7iCxSJRNejsmnYqDE2FGo1oiMjUKlQZXKM72bhfuUKJ9PRCJ0znup3PcP+P5jxevceXKPHb2uHjhwDhfmGEeLPU7jYv0OYJEiODxRsk6ysvm2g0lbO928uz+UW771wHu1YLWnM0r7eOIooglKzGztavPhT8co1x17E/wH1xXxLYuB8/sG+Hmh/fwyCc2pj4EmM3mlKN3c3MzFovlmMeaLwqF4qTqXxpNYv7L7/dnTP/KysqitraW/fv3s337dtatWycFFi5mpq+S3G43er3+uEF0iw25TOD7763jqj824vBHODQe4ND4zO2lCplAnkGVEu9FX4QlQQe1HnnKJ0+rlHPHe+q4+q4mDo75+d6zB/n2u6ZuBYuiiN/vP6oeYjabpzx3n3tbOVvvcRATYdST8NZDFPGGooiATiVLifaeUJRnW8e4cmX+EWF/Zp2Si+pyWFtqPkLfSn9TP7N/jEdbhglH4ynD10NhP+FoHINGgSiKKQ/BnT0u9ErwxwSCkTgDziCrigx0TQR47aB9xmaLY5GYB1vClX9oZMwbZsQTYkleYhVaaFTj9GsYdoXY2TWOIEZRiRE25cuxqsGusDEoB3c0BnGwKRR8eEUOt7+zlmvubmLAFeLsSgsf3VDEiCc0mdR7uJFjeLbxGloFSrnAgDPIh+5p4gNrCigyaxnwQq0/QpgwL3dM0DnqAZkcv9dDjjpO9ZJoyl0+/ef97nuXsm/IQ78jwNefbOfypXbCajPltsTvT6eSo1XK6LL7MZiiHKvkC4LAd95Tz74hN70TAb782D5+86GVqd+vTqdj48aNNDc309PTk7HOu6T+pdVqM95okJ2dnTKazaT+pVAo0Ol0aLVadu3axTnnnHPCzzHjeU/KWU4gv/nNb/jhD3/I0NAQy5Yt42c/+9lJyYTy+XwEg0G8Xi9OpxMAq9VKYWEhDQ0Np21HY7Zexffeu4RP/X0vInDVyjyy9eo0h/IgI54w0bjIgCvEgOuwI8OTh4aBw/NKVp2SfKOaUqsGuy/Moy0j6JRy3rk8B108QMTnZGJignA4jMViIScn57h6SJlVR3aWilFvGE8wik4pI0ulIByNI8CULSm9Ss6YN8K+Ic+UAhUXRfYNehhyhyg0abjzvQn97cm9o2woM3PlqoReFojE+GfzECq5DK1KRlxM5BGFo3GGPSFCUZFNFWbM2sTbps8ZRC7A6kI923o99DuDZGcp0ShktI/ObzbGpFXy+bdV8NXHDzDoCnFwzEepSUkwEMQg+vHLYqy0aqjMt7K6IpfyPAt/e+Y1Gu0RsrQqqnJ0iJPuGY/vHuET55bygyvrue7+Ft445ODCWhvXrD2ycMbi4mS8xmTRSg85nPw7byiGK20yutcR5Ef/6Zr8Ss6PdreglAtolXKsOgW2LBXyeIT2SBTZlh6uWFV4RLyGQaPgZ1c38KG7d9BiF1G2TbC6OIRoKUeY/N1qlHKi8Tj+SBz1ce69ek1Cj/rAH3fw4oFx/rS1j+s3H06STTYabN26FYfDgcfjwWCYX9TLsZjeaJBJ/Ss5/5Vp/UsQBFauXEk0Or+B8vlwWhWoBx98kM997nP85je/4eyzz+b3v/89l112Gfv37z/hccaiKLJ3717++te/Ul5ezqZNm3jggQcQBIHCwkKqqqpOi1XSbDi70sonzinld6/38sz+MR68YQ0VtsM3+FhcZMwbnnLjaunoIyBosAfFI+I10vnrzkH+unMQALUc8gwqii1WCv0aCjxxChweCk2Ro8Zr6FRy3rsyjz9vHyAYSVj05BkSDXtyIeENmCS5sknfVhzzhPi/Zw6yb9hDJBpHpZCxvNDA9ZtKuHtL35R5sH5HMOEYoZRh1Cix+8IE4jEEIBQWKTbL+cDawtQn8iyVHFEEi1ZOfX5inmn3oIeqbB1GzfxvEOeUG6i0quicCNPY64IcAZtBQ0SupaFcz/9eXjulGaPbA2ExTqVh8kOSAEUmNe2jPvYPebm4Pueo+WBJ5DIhLV5jZtd3z6Qv3rA7xGMtI7xwYBxBSDh8jDp9uCMCkZhIJJbIi+qeODwXtmu0i1++3JVyqE9GahRMRmxctaqQBxsHaLaDRRtAK3RSUVGBXCEnEosjQ0CtkMEsDCKWFhj58iW1fPvpA/zo+Q7WlJpYUXR4m00mk1FYWEhvb2+q0SCTRrPT9a9MGc2m619r16494eeARJE6mR/GT6sC9ZOf/IQbbriBG2+8EYCf/exnPPvss/z2t7/le9/73gk5x8jICF//+td55plnmJiY4Oyzz0an03H//fezatUqWlpa0Ol0Z0xxSvLJc8to7HOxo8fFLY+08tfrV6XMS+UygfxJbWL15PfvUI5QXl5KTk4Ooiji8kc4MDDGwcEJusfcjHgi7LTL8YTFVMBhKAa9zjC9zvCM1zA9XiMZbriswMDZFWZe7XQQiSWKpVWnxB+KEIuDksQqacIfwaJTsqHcDCQ+ZHz/+U52DbgxaeSotQpC0ThNfW60ShlnVVqmzINN+MOMeMKEY3EEEjcRtVxAIRfQqQRuOq9syiDymhIT/1DCiDdCZbaOcW+YUW+YXkeQVcWz/1Q+0/jBO0u13OeT4Q7F2e+UUa9Ro9fIeWdD3hGdgv4IqNRHdg/KBAF/OAYcmQ82H/9Eg0bBEo2eJXl6zqu2pubBQtE4X10dp3rZSh5ssaNUCHj8ETzhOKNOLw5/FF9UwB+JTYnXaO47Ml4jFhd5vjfGjpEApo795FtNqJRyym06JlRxwsSJx0Vkx9FDP7yhmG3dDp7dP8rn/rGHxz65EWPa/JYgCOj1enJzczNuNDtd/1qxYkVGZhzT9a8tW7acEVl5p02BCofDNDY28qUvfWnK31988cW8+eabJ+w8er2erKws7rnnHs4991z8fn9qePZMJqlHXX1XE+2jPn7w/CG+cXnNMR8TDocZGBhIDRorFArW5tu4eFktFosFZzDO++9qxO6LcOXKPG44qzSleaQPs84tXiNR7GSCgEqeaB2Xy6PIBDBqEttjSeG+yx5gz4AHg1qeKrYapZxYHJr63Pz4qno6Rn0cGvfznWc6mPBHiMXFRLu4PLEiC0XjyOVy1pSaOLd6ajtvZbaO84tk7PLI6JkIYstS4ggk5q2e2T/GudUzfyof94Z5Zu8QWzrHiYTDFKojLLdBfZGV0tJSrFYrFyiV1C2Z4IuPtuELx3AHI9z8tnJWzOD6naOF9nCcuHjYwSE5JJts1EjqW++/q4meiQDfeqaDO987/0/zgiBMmQd7sFPgJ+sVFJs1hKJxqiwaFEoFExMCgw4/VWVFXLO2CG8odtR4jUFnAHcwUVCdocR/PZOJza8dnODPk+dWPf9Sop3erKXApE409kyuxorMGvKNGlQK2RR966v/2s8vrllxxM9bXFyMVqulubkZv99PdXV1xgZtk/pXMtE2U4O2Sf2ro6MjowGIJ4PTpkCNj48Ti8WOGLbLy8tjeHhhPnDpZGVl8dOf/jT1td8/c8fTmUiuQc333ruET/59Lw81D7Gh3MSlSw+Lu/F4HJfLlfqUf+DAAcxmc6qAp9sxAWTr4fvvreP//W0Pj7aMsKnCwuXLZhaLZ4rXSGpgg+4Qw64gnlAs9f2j3uQqTIRo4u/dwRhfeKQ1tfJSyARcgQh6jQKRROiiUiagUgi4g3FiIql5sCf2jmLRKamwaRl0hQhG4ogkimEsDp88p2zGMMBV2QKXrS+h3ycQjYuEYnG+9FgbT+xJ6FvJeTBRFPF4PHQNjvKrN0focSayozxRgZaIwKtjCs6NKLnGlkX+ZNfnudU2fvPB5Xz8zy10jPk5OO6fsUBVm8AbVtEx6sOWpUKcXE3W5GTRkNYKbtIq+eGVdVx/fwvP7BtjQ5l53g7qqeNNzoM12WU80+ZgdbGZlw/a6XdGMGWpGfQkrKDWlJrRqhRoVYpjxmts6Zzghr80E4uLXFibjUEWZmDcRUiRxbA7hN0fIxyN0zMRSAVLTkcQEtpqkUlLqUXLoDPAc61jqfmo6SRNl5ONBsuXL8/4oO2WLVtYt25dRgdtg8EgPT09dHd3Z0z/yjSnTYFKMv3TjSiKi2Ku6EzhrEorN55Vwh/f7OP2pzqotqrRxX2pFnq5XI7VakWlUlFZWUl+/rEHcjdVWPh/55Ty+9d7+dbTHSzN16c6tNKRCcIR8RrTSWogd7/ZxzP7x5ALsK5ETyAmMOwKMeYNJ9wiJgJ0p928/JGpW4oyIdFccc+bfZTbdJxTZeXVgxM4/BEKjCqqc7JwBxOu39G4iEYpI9dw9FEBW5aSysLDN9y+iSC/fKWb7z57kEJ1GH3ci91uT+ia3ixGg3KqCwx0jAeIxKNoVTIC4Tg7elyMesLcdnFVSgNcU2Lif84v5+cvd/O9ZztpKDRSM83v0KiCDy7NY+dgkAOjXmQyGRfW2rigxnbENt6qYhP/e2EFP32xi+8/10lDoWFW+WBHY8o82Mu9/OV6K5fU57KrdwJ/VCQ/S0FpnpyGwmOnGSfZXGXli++o5vvPdvB6p51//Pd6bLIAu3fvxmq1Ekcgv7I+8cHFGWDAGZxchR9elYWiccY8YcamDTT/5D8H2VBhYfkM12IwGNi8eTONjY0nZdD24MGDGQ9aNJvN2O12Dh06lFH9K5OcNgUqOzsbuVx+xGppdHQ0YxYmb0VEUeTaVRbe6Bhh/1iYzzywi29s1pGfm015eXnKjmnHjh2zNqz81LllNPa6EnlKj7Ty14+tTgjecySpgXzvvXXYfWG297gY90V54Ia1aJQJMX04LV5+0BXi+dYxuuwBRESS1nBxEcIxkRfb7cBUU7z9wz5kAmgUMlQKGdG4iE2m5I1DDorNCV3MplfNuJoSRRGv18tFRTFetMnYZ4/z9X/38NPL8lPjB68/dwitxo0nHMcfjpGlTuRuhWNRwrEY7aM+fvlyF5+9sJIya2J75uOT/olvHErkec3kn5hvVPHBQivBSCyx/XmM53c++WDH4r82FvPvpkPsc8Ctj7bxwMdXU2HORaZQMTzYj9/vn9ON8frNpWzrdvDSgXE+94/EPNOGDRvYvn07arU6YaVk0QJHzjKJosiELzJZsAIMOoMMOAM83zrGsDvE5x/aw6Of2DjjedVqNRs2bGD37t0ZN5qtqalBq8180GLSADbT+lemOG2UfpVKxdq1a3n++een/P3zzz/PWWeddYqu6swgHA4zNDTE3r17ee2119i/dw+fXqPDqJbR7xN40WGhoqJi3i4YcpnAnVfUYdUpOTDq44fPdy7oepN6mUEJnfYgd04eTymXUWLRsqHczHtX5POpc8v4+8fX8IlzSim1aMkzqCi1avnAmgJ+cEUdt7y9kmvXF3JhrY3q7MN79XExkcbrDCTcGnomgtw2Ga/xtl9sY92dr3P5ZLzGn9pi/PqVLn7zTDN3P/k6z77RhMPp5msXlWDLUjLoE3mgI56a79KqZMTiIoFIDEQRQYBoTCQYieEJxAhEYjT1ufnpfzp5rGWYR1uGeXTXMNeuLyRHr+LQuJ/vPnvwqM+NRik/ZnGCI/PBvvPvheV5yQSBj1THydUr6Z4I8H//TlyfKi24cS4IgsD3r1hGgUlNz0SAbzzRitFopLS0lFAoRFNT01FbnQVBwKZX0VBk5JKleXzsrDK+dnkdj9+0iSJzIjH4a4+3HvXnTTYaZGdns3Xr1tRISSYoLi5OuYd3dCzsd3AskvpXJBJh+/bthEIzh3cuRk6fUgrcfPPNfPSjH2XdunVs3ryZP/zhD/T29vLJT37yVF/aaUVSD0kfNDYYDNhsNkpKSjAajYmbhHmCmx7cywONg6wvM3Fxfc68z5lrUHPHe5bwyQf28mDTEOvKzFy6dP7HyzGouXGZgp/tivJw8zAbysxcNoO+pVbI+OS5ZXxkQxETvgjZetVRVwvP7h/jlkdbATBq5Jg0SsptOgwaeWoeaNQTIhJLOCX0TcZrbBlOb+gQABfZWQFMGgV2X4RHW0aIxEQurs+h0KRGFJNNDAJiPI4nGENEwKhVEInFydWr6LIHaHmpixyDGrmQuNmfU2XhX7tHeHz3CBsW6J+YzAe74S8tPDHpn3jlAvwTs5Twncsr+dRDB3hq7yiri7K4Zt38w0zNOiU/eX8DH7m3kaf2jrCxwsIGmwqbzUY0Gk05eqc7rx8Lk1bJT69u4MN37+SZfSPUmOJsPsrLTxCEVKPBjh07Mmo0O13/ypTDxcnSv040p1WBuuaaa7Db7Xz7299maGiI5cuX8/TTT58R7ZSZJhKJpExrk3qI1WqlqKjoqIPG51Zb+djmYu7d0s83n2qnPl9/XI+5Y3F2VULfuuvNPm5/qp1lBQs73lKbjI+syeHPTWPc/nQHSwsMqW2x6ejVCQfwY3HJ0hw6xnz8/vVewjGRn7x/KXV5emKxWMqOaWR0jHFflIjKQFCuo71/HFFnwR4UZ4jXOHzsJ/eO8uTe0dTXyXWFN5SY6VLJEy3hMkEgEovT5wgQExOmqeXZWRg1CjrH/Vy2NIen9o2dEP/E9Hyw7/77ILl6FauKjXNuP0+yssjA/1xQzs9f6uaH/+lmdamVhfSQrSk18/m3V/Gj5w/y3Wfa+enlhdjkMtatW8fevXtT23CzHbRdWWziCxdVc+dzHfx22zgF5xpYc4zvLy8vR6vVpoxmy8rKMqLhpA/aulyujNkInUz960RxWhUogJtuuombbrrpVF/Goieph6SvkrKysuZsx/SZ88tp7nOzq9/NFx9t5f7/WnXcLaRj8enzy2nqc9HU5+YLj7Tyl+sWdrzr1+eybyxhzXPLI/v5y/Xz07eSpOtlt/1zL1/dqMbndqJWq8nOzmbZ0oQdU1J/e+ONN1i+vAS9wcjeIQ9OXxhrlgqZTGDIFWLAFeCeN/uPGGAWp/0/FBMJxRLdiK606HdnMEZLvxuTVoFeLSdXr2JlkYGWAU/K7zAcg6Z+D2GCZOuVLM03zPo5vXZ9IU/tHaVz3M8XHmnl/Bor51Vbubg+Z4rjw2z5+OYStnc52NLt4gv/3M+PL1mYxc8NZ5WxvdvBqx127nh5hO+en3jdNjQ00NnZybZt21i1ahXZ2Ud3pk/nY2eVsr3bwUvt4/x8h5eLz4oe84NLXl4eGzZsoLGxEb/fT319fUYHbbdt24bb7cbv95/2+teJ4LTRoCSOTzQaZXR0lNbWVt544w2amprweDzk5+ezefNmNmzYQFVV1RF+d8dCKZfxgyvqMGoU7Bvy8tMXu47/oGOgkAnceUU9Zq2C1mEvP/7PoQUf7wdX1GPRKWkb8fHDF+anb8ViMex2Owc72nlXvpcshcghR5h/HoKNGzeyefNmamtrsdlsRzSH9DlDfPahfXz5X21859lOvvrEAZ7ZN8o5VRYursuZYrKbyHUS0CoEdEoZ9flZ5BtVGNRybDolM82fioAzEKXfGeKFA3ZaBjwAHBzzc9EvtvF/jXD7s138+D+dfOvpDr7yxAEOjftnpWk8vmcUi06BWiHDF47RMuDm8d0jPNc6NuX74qJIvzPAwTHfEdH08XgcURTp7e1lx/btvCtnApMKuicC/GrLKAtBJhO488pl5BnV9Lsj3LXLm+rcra6upr6+nubmZvr7+2d1PEEQ+N6VS8nJUjDsi/PNJ46uRyUxmUxs2rQJu91+TP1roSgUCsrKylAqlWeM/rVQTrsVlMRh0o1Xx8fHcblcKePVpUuXzqkQHYsCk4bvvnsJn3loH3/ZMcC6MtNRGsFnR75RzXffU8enH9zL33YOsq7MxDvq5q9H5RkT+tanHtjLg41DbCgzz0ovSw/xczgcdHoVvDaqYMgnQ69V4/OEebrdw4XLfFy6VEdcFInFxSkri1hc5OevDdA1EcaWlbjRe0Mxnm0dx6JT4g/HcAYiqOUCoVjCaDYSE4kAMkFk1BOebGNXo5GDMxhBEBNFSSFLNCAkzpuY4zLrlHhDsZRDhDu52gpFgcSfD475eXb/GBqlDLNWiU4lI1evpj5fT21eFoWmhEO5gEBjr4t8oxprlornW8cZcIaw6hJdi+fX2NCrFYx7wzzaMszBMR/hWByTRsmGUj0rrOB0TDAxMQEkmm3Ky8tZY7WSXengU/9o46XuADVmWLFi3r9erFkqfvL+5Xz03kZe6wvxz+ZB3r8m8am/qKgIjUZDc3MzgUBgVoO2Fp2Kr1yQzxee7ufJPSNsLLfygXXHXkXMlGg7W/1rLgiCQFZWFrm5uSdd/8rU/NdCkArUaUYsFiMSiTA0NERnZyeRSASLxUJubm5K2M0EF9Ta+K+NRdy/bYCvP9nO19fLKV/A8c5L17eebKcub2F61DlVVm44q4S73+w7ql4Wj8dxOp2pohQIBDCZTNhsNtyaXP75n75E67dKjhAX0SplBCJxvvlUO20jXnZ0O/GFY1Tn6LhmbSHry8wcdEGPI0S2XpXaWjRoFIRjcZ5vG0cpE5AJIJfJUBMnFBNT23qCICQeJ5fhDkZZUWai0x5EkCdWCMmk3eTttjpHx28/2IBFp8QdjPJ/z3TwbOs4AlBiVhMnoWN5Q1HCMZFgJM5wJNGxdWg8wNZpSb0yIVEAs1RyzDoFOQYVo55wKk9qyBWk3Kbj7zsHaRvxkq0VUMdDDI84+WvPIKOVWs5fkktpaSk7d+6kuro6tS21tsTETeeV8atXerhvt5+zl3Szvq6M3gk/494wGqWcymzdrPWudWUW/mu1lfuaJvi/pw+wsthETW5C5LfZbCkrIb/fT0NDw3FvtMvytFxTr+Xv+wN855kDrCg2Upd/bC1LqVTOW/+aK6dC/8rk/Nd8kQrUaUB6PIXD4UgZNtbV1U3RQzLN5y6soLnPzZ5BD7/bHeO3tQvbFkjXt259tI37r1s5L90jyf+cX05Tr4vmfje3PNLKn69bRTwanvLcyeXylPOF1WpNzYT86tFW/KEYuQZV6kagVsjocwTxh2P8aWs/eQYVKoWM5n43B0Z8fO2yajyRxKpKJZ9689Ao5QTCMdRaJVqlnEAkYVSb1JkABESMagUqhQxnIEKxRUdtXhbtoz6MKjmROASjMcLRRLH88sVVWLMSA8MmrZLrNhbz5iEHnlAMZyDKRZPbiYFwlOZ+N0aNgv/P3nmHt1Xeff9ztCXLlmR5O17xiJ3h2M5ij5a9IeyWQtml7Uvp4qFQCi19Oih00BYoZZWWGTZ0UQg707EdJ07s2PHeS3vrnPcPWYrkKY+E0Cff68plEuyjY43zO/f9XZkGDW5/EKc3QL/dhySBQi7QZ/MiSqGtO6snEMN7iRLU9zi46LEdJKhkSKJIggJ0CkjSKjHqtOhUerrRkZObh0IeKycXxZDh7Lqjc/i4qZ/aXg+3v7GPi9pGGQlqxgavRKZBw7nlmZMatyfDpSuM1HTZqRvwc+uL9Wy4cW1EkanX6yMX2m3btlFZWTljD9s5RRq6/To+3DfMt16q5+Ub1844MCfjvw4W0tPTWbNmDTt27Dgk/FddXd1B9X/NBYfXeu4IgAN8SFNTE5s2bWLLli0MDw9HluRJSUlkZGRMyoccTCjlMu6/sIxEjYL9Vonznmrk8id28O2XG/jlOy38dWs37+4doqHXjsXln3FfO5rf2tVr58EF4Ld+fv4SktRyGvocfP/ZTWzatIm+vj6SkpKoqqri2GOPpaysjLS0tMhwkiSJvX0OtCp5zAVAo5SjVckQCJXweQIiSRolGYlqXP4gz2/vIUUd4pTc/tiYbac3iClBxUklZtQKGRrFgRVRGOoxz1L4eVLIBG4+LhejRoHNG8QbCCJJoUT3K1ZnTWiVzU3WUrHIgFwAmzdIbVdI7h4ePkWpOhaZNBSnJVCRY+CkEjOlGXouWplBeVYiXyhJJj9Zi04poFEIJKhkmLSx7yenT8QVgEEPtDugftDPR+0ONrdbeb66l6N+9SnnPrKNPzbIuO/frfzxg/28XtfLji47PRYXtx2dglEjo88t8FLdMLgsFKXqKExJoN/m5e36Pjz+IPFAJgh8fXUiqYkqWgad/OTtvbHP55jRVqlUsmXLlhljymRCiN9KS1TTOuTi3rf3xsXFjOe/RkdH4zr/uSAcNHso+K+qqirMZvNB579mgyMrqMME4/kQpVJJSkoKxcXFmEymQzqIpkO2UcNPzinhWxsa8AYldvc6JlSMh6FVymJSybPGig3Dba3h2oUIv7W1mzW5Br6wJD5FVhherzcioR8ZGeFLRfDwbni3M8iZq8pYtWx6f48gCBi1CnptsQZGcaycUKOQ4Q6IDDv96NUKjFolepWC/UMuziqF5RkJ1PQ48QdDqyTHWGbgBeXpfGFJCg29Dnb22BCEkJjAN7bN5/AGGXL4UMgFNEo5FYuSWJqZyK8vVvJ8dQ8tgy6SE1ScuzyN0yfxjBm0Ss5ensr+3hG6XbB/2AWChEmrJD1JjWLcalQmhFY3dd029Go53oCENxAEBAJBEX9QwqCQKM1Usak3JITIM2mweAIEgyJapRy9RoHTF+qF8gbEULTUsBsQ2GsZnnCOMgESlKGhP+iBD9ucLBptJyfdTKJGSfuIi7Zh14zba5HfWS3jwYtXcPVT1bxS28u6AhMXVBzot5LL5TGJ3qtWrcJoNE55vOQEFb++JMRvvV7Xx7qCZNZXxlc0Gea/qqurUavVBy127VDyX0uXLkWn0x10/iteHBlQnxGm4kNSUlIoLCycELx6OOGLS1I4eZGcjV1BdCo5V6/LxuUTIyWHPVYPw04/br/I/iEX+6epGA8NKTUFZi2tw25uf20vd55RxIqsRDINmklNteFGY5/PR2NjI263m6SkJMxmM7m5uRyfmIg7sZWnNndxzz9a8AbBnKBi5aKkKSXFZyxL48+fdOD0BtCp5IhSqO5dp5IjihIJagVDTh8dI276FV4QIFmnQimD/3d8Fi/tsvJxywgun4hJq+C4wmSK0xJQyQV+fG4JH7eMsKfXgSDAzm47DX12bJ5QtFFusob1FZmUjXU0Lc9K4r44s+vOXJZGR3Mj7w5oaRx00zHi4bqzc2gZdNE44ESvDq0KJSmUFJ+iVzHs8GBxeOix+ZFEEYNSQFTKsPklDIk6inOMtLuG6RkrqCxM0WFx+5EkKErRoZCFhB4XrkxjkVHLgMNHS5+FnS3d+JUJWP1yuixuBhx+AiLYfQdWJT0u6HH52dp7ILLsP3sHyTVpx9LIQ1+zjBqyDaGE8hS9KuazsDbfxDdOWszvNu7nnrf2siLbEOMHCxttwxfaFStWTJsZuTrPxK1fKOTX77bw47f3Up6dFOG3ZkJ4u3j//v3s3LkzLv5rLvis+a/PCkcG1CGE1+uNDKRw8OpkfMjnAVeUKunxKmkc9PDpfgtPXlUewx95A+FcvOnrNXpt3piViycg8sO3miJ/N2gVZCVpyEhSYlBKJMp8qIMuktVgUkksyUwhLy9vAt/w/07KZ2PTMO0joSpxjSJUDX/LCXmRhPFoXFKZSeuwi4+aRxgcS0o36pR87fg8/vxpJ31WNwIhdZ0nENrOG3Z4+Xu7xJ0rFXz7i4v56tE51HbZeHFHD2/uGuD1+gFSEpR8Zd0iTitLjSgVXb4gG5uGePC9VgbsPkDgytVZc7ohkQkCy5Lh8pOXcOtr+6npsvHM1m5+dFYJgw4f+wZcqBUCTrcXJUEqtH68/gB77HIkBIyJWmSCDF9AJEkeSreo67ZTmp5AICgx4PDRZ/NSYNbQOephwOFlaYaeE4rMHFuYjEwmozAdlqYoWZUcEu9IkoRxmZFkcxaCJolRL7xc28c7jSM4fUFUcgGdApx+Cb8Y2g7d0+dgT9/kK3GVQkZmkhqTGkwqkeWj+8kwqFmamUhDr53/98JONty4Fu24m5m8vLxIo63b7SY/P3/K5/jG4/LZ1jbKxy0jfOvFel6K4rdmglqtxmg04nK54ua/5oL5+L9mi/H8V3Jy8sw/dBDw+bkifg4xWRFd+E4/Onj18wiFTOCHX8zi5lfbqOu28dAHbXz7Cwc6s9QKGXnJ2imTHcL1GtFDa9+Ak382DBIQJZTyEGdjdQewuh3s6Z/sKAKq6j6yDBYyDWoykzSRrUR/UGTY6Rt7rNBgsXsC/Ord/SwyaVida4w5kkoh487Ti9hb4YzwUUcXGDFolSRpFHxrQwPR7IRcFuKoPuoN0DHqZYUhJDl/7JMO+m1ejFolMpnAgN3Hb99vw6RTsiYv9Jg6lZyzl6ezKtcQ6Wd68L1W7ji9aM6vR5gfvOTxHeztd7KhuosLi1V82myla9RNtl7J2nwTlYszGPIr2f3yHkZdfrx+iaAUIChKZBk0hP29bl+Qo/KT+NfeYayeADZPkJxkHZdUZnLm8nQEMeS5GxoaYnh4GJlMhtlsprS0lK6uLgRBIDcnB6VSiSiKJGmVKOQy3tw1iDcgkpucwFqDQLrg4NTVJXhkuqhk8gMp5QN274F6jbHfdWN7rHeuedDJUb/8gNL0xNjVlzHU1ltWXsW+hp0RocFkKxyZTOCXFy3n/Ec20zzGb/3swmVxP/8ymYxVq1bFNNoeLKNtUVFRpMOqrKyMRYsWLfjjQGzRosVi+Uy8UkcG1ALD5/PFrJIEQcBsNpOXl0dycvJhJeGcL7KSVPz4nBK+/fIentzUxepcIycUxXenFV2vsTI7tJ3l9/tZk6nkR+904w9KXLtEoiTTgFeRgFNSMegKjnVEhYbaoMOHLyhNqNeYDG6/iFImQAB+/V4rNx2bG+LHDOrItp8gCJRl6CNbbWGUZehRykNybAkJl08kKIb4Fa8INd0OVuSn8cG+YfrtXtIS1RFzbqpeRZ/dy1tjeXfRyEjS8L/nLuHrL+7m2e09rMkzckrp3O6Ig8Egcr+HW6oS+OnHFl7eOUi2Qsf6qmySk5NjLpbJwKmlKbyxsx9RCikEM5LUpOlVdFo8rMpJor7HgdsvcVSBiQ/2jbB/2M3KLBkFage11R3Y7faIRD8vLy+S3wiQmZlJfX19ZDWh1WopTEvkmqNy0CplPLOtl+ZBJ6cvLeDCkhz27mmgtLSUE0smZvcdSKj3ULevk45hB5LWGKnX6Bpx4xdDkvraLiu1XRNbegH0ajlGZR+pHwyxJCcVPV60khch1UKWQUuqXoVZr+KB9cu55ukdk/JbM2G2/Nd8MBf/11wQ5r/CohOPx3NIFX5HBtQ8EeZDwkPJbrfH8CFzTQD/vODU0lQuX2Xl+eoe7nxjLy9dvyrS4joTJEnC6XRGnjur1Uq2TsfZxQm8vc/Jy+1KNpxWSkbS5ITwx59uwphVgAtNpF6jz+qlx+ahrss2QVnnF0N3gDu77Xz9xd2Rf0/UKMgaE3JkjplYM5JCX7MMGpRyIdLgq1MpkBHA4QtJu5Wy0GoKiGxVRidHCIKAWi6jbWRyHu6EYjPXHLWIpzZ3ceebjfiDIscsNmHQTn8jY/cE2NwyQP+wFcEWJFC9A41GTWWGmSsqzDxXO8wTu72ccZQZne7AKjYoSrxW20ttlw1fUCTgl1ApVKhkAp0WD3nJOq5al8sHzSO83zSI1eEhVSdj0CWyp89J57CCvMwslpenoddN/rrI5XJWrlxJU1MTW7dupaKiAoPBwOK0RL53ahEqhZzHN3Xx5KYOzlu5jlWrVkUabUtKSmI+L+GE+hyTllTJgjVVpKJiaeT/S5LEL/+1jyc2daBWyLj6qBw8AZGesRVYt9WDxeXH4Q3i8EKXw09Nf0/k5x+q3j72OAIZSSHOa0m6nj19Dn74xp4J/NZMmC3/NR+E/V/bt2+P2/81FyiVSgoLC2loaGDz5s2sWbPmkG35HRlQc0AwGKSvry+ySgoHry5atAiz2XxQ9p8PZ3z3lMXUddnY0+/g9tf28PiXV6KYLLOHUBxTOHh1eHgYv99PcnIy6enpEaNx5SqR1qdraehz8L1X9/LEl8sn9UcpZAJZSSqSk40T/t9vN7by7LZuElRyglJoqzCs8s5MUmHUquixebC6A9g9ARo9ARoHnBOOAweaeD0BEU9ARC6EBB5BCQISlGeELmDhUsPo6nUAX1BkkVGDLxBS0HkDIqXpelL0oe8/ZUkKG2p6cXiD3PlmI0UpISPwRRUZE/xFFouFjxt7+WvNCCMeEZlMhhwZxxWZ+c7xZWiUcr5XJLJ3aGfED/b0VeUo5SGhxD8bBnixphe1QsaS9AS6LF6GnaHW2/PLMzitKBH7UA+5gSFOTLThTNKSvMzMM7uc7O5zcd+nDsqzZZj1Dk4tS+XkkpRJu7EEQWDJkiVotVqqq6tZvnx5RNr/zZMXU9tlo7rTxq0v7OTFG9bEJBqsWLEibtWqIAh897RidvXaQ5l9zcO8cP0aNMoDP+/yBUPDyuKmx+KmrrmLzhEntoAch6ikzxZOqHfTOXpgJe4LSnzrxZ28eMNEfmsmzIb/mg/0ej1HH330rPxfc4FMJkOj0ZCens6ePXs49thjF/wxJoMgHa4hTHEiPz+f9vb2mH+7/fbb+fnPf74gxx8ZGcFsNvOf//yH1NRUOjs7CQQC6PV6zGYzKSkpJCYmHtKIkB07dpCVlXXQ7sziwbZt28jPzyc1NUT8d4y4ufTxHTh9QW44Jof/d3IBEBvHNDw8jMViicQxmc1mDAbDpBejztHQ8RzeINcencNtXyiY8D2bN2+mpKRk0ru5tmEX1/11Jw5fAK1CjihJjLpDHpJzV6Txv+eVAuD0Buizeccq5kNCjh6rh7ZhNx2j7ohkfCak6lWkJCjpsnoJBkUSNQpUchneQGhr8cq1Wfx7zzB9Ng9BUUKvUbC+IoOzl6fxrZca6LV5GXb6ECVIVMsx6ZR8/9RC1uUkxGwZe1HwVJMcu18gO1mHUibQNTBKUK7hmqNzWD9W4d5jcXPp4zVYPQEur8rge1/MJyBK3PV2MwN2H9lGLYIAQVFkyOpiyOHl0oIgeYmQnJxMSkoKKSkpEfn0r/7Twl+2dBEUJfKStWQZNIiSxFfW5XDyDLaAgYEBdu3aRWFhIbm5uQiCQK/FzcWPbWfUHeDy1Vnce+7SSNeTIAhUVVVNuNC2trZitVonNcf227xc8MhmRpx+LludzY/PLZvyfCRJYseOHQwNDYW24UzJDNh9kZLDXouH5iEn7+4ZxOkLcklVFvedv3TK43V2dtLf38/q1asn/D+r1cqOHTsiSS8zXSe6u7vp7u5m7dq1037feASDQerq6nA6nRH+q7e3l/b2do466qhZHWsy9Pf309LSwjHHHIMkSQdF5j4Z/iuMuuH6jfCfu+66a97HtFqtbNiwgZtuugmDwcCll16KzWZDrVZTWFgYCV41GAyHXX7VZ4HcZC33nF0MwJ8/7eQfNW00NjayadMmtm3bxsjICCkpKaxbt46jjjqK4uJikpOTp7xTzjFpuffsEgCe2NTJR80jszqffLOOn19QSn6yDr8oEZQgc2zr8c36AT7cF/LsJKgVFKYmcHxRMpeuyuLWkwu4ck02I66QrFqrENAqZehVcs5bkcZxhSZyTaHtP5PuwAbEoMPHnn4ndk8Al1+k3+6j0+JhwOGj2+blgXdb2dVjw+4NEBAlRpw+Hvukg/v+0UyvzUtmkop8c2grzu4NYnF6+csHe9i0aRP9/f0YDAZWr16NLH0JTlFBrjkB1ViCg04BSjn8Z+8Qfr8fn89Hik7OvWcVAvD8jj4+2m8jgByrO4hWIeB0OukbHGZX+yD7Bl30O0U22ZLIKlvNypUryc7OjlSwtI+42TfgZGV2YuTvEOIR39k7ONZtNTXS0tJYtWoVbW2h94QkSWQatfzsgtAQeX57D2/t7I0YbdVqNZs3b8bpnHxFOxnSk9Tcf9FyBAFe2N7N33f1Tfm9giBEbixramro7ekmy6hhdZ6R88ozuemEAu6/aDl/uGIlggAv7ejhzZ1TH286hINmR0dHqampOWhG2zD/dSiKFg+lJ/O/4sqamJhIRkZG5M98iri6uro48cQTSUlJ4d577yUtLQ2TycTWrVtZuXIlGo3mcyUHP1RwuVwsT/LxhVwVEvCTdzoYcQcpKSnh+OOPp6KigpycnFkRrKeVpXLZqtCK4M43G+m3za4JdE2ekWe/WsmTV63k8S+V8/evr+WK1VmR4/VNcrzQamE/Nk+ARLUco06FQaNAAra2W7n/wjLevmUt//rGOj687RhOHssY1avl3H1mMd8/dTFXrs5iTa6B/GQtierQh1mUQluCLl+oqdfmCWLzBHmvaZhBh4+dPQ7ah93IhdCGhs0n0eoQUCxajimvlPSsRej1epy+IAIhnkuSiCirlDIBhzeAPxja9lMoFJyyNIOvHh0SHtz15l6qdzUScFnoH7Hi8frocQlYAwqQK5DLZXRa/PxmYyttw7F8Wb/Ni9MXYHFKAkvSQ5+tbe0WlHIZI04fVveBi+6A3UtTvyOioAzDYDCwdu1aRkZGqK2tJRAIcEJxCtcdEzq/u9/cS0u/DUEQqKioIC0tjc2bN88qpeG4IjM3HZ8f+n3f2EP78PRJEhqNhlWrVtHU1ERTU9MEldrRi5P52gkFY+e3h9ah+AdmNLRaLevWrUMURbZu3YrH45nTcWZCmP9avHgx27ZtO2zSIOaD/4oB9Ytf/AKz2UxFRQU//elP8fl8M//QFEhPT+fKK6+kpaWF+vp6fvKTn9DW1nbIlrSfF4Rbefft28fmzZvZsmULg4ODfOPYDIpStNj98NguP6bk+cUxfe+UQkrTExh1+fn+a3sIiLPbkZbLBErSEijN0KOQCXz3i4spy9BjcQe4fZLjdYx6aB1yoYmqKxfGAlXtngDb2mNVYusLZZSmaXF4g7xR38/lq7K44/QiHli/lOK0hAlcnDD2RykTUEY+faFzCEoQlA58/6AzyC0v7uG8R7az5pefcOKvN/HEpk4G7D729DroGnWHlIySjCG7m4JkNQlaDSqVCp/PR2dnJycYLeTrJRw+kYe22ThrZQ46fSKjARUOnzQWtRQyHZdl6um3e/nP3tiqjSStArVchscvsjwrEXOCkoAosaPTglohI0Etx+EN8Pgn7dz39ybu/08LP/l7E89t64qJMdJqtaxZswZRFHnn4238c1cvhakJFKfqcPqCfOfl3bg8PiRJorS0lOLiYrZv305vb2/cr/c3T1rM6jwjTm+Qb71Uj3eGGKXk5GTWrVtHb28vdXV1BIOx3/+NkxazNt+Iyxff8aaCUqmMmGs3b96M3W6f03HiQX5+PitXrqSzsxOPx3PYVmnEg8/9gLr11lt5/vnn2bhxI9/4xjf4zW9+M69CQ6VSyU033URubu4CnuV/BzweD93d3ezcuROHw0FXVxfBYJDCwkKOP/54KisrKV6cz4MXL0OnkrOt3cojH7XPfOBpoFbI+NVFS9Gp5OzotPHHD9vmdTyVQsYDF5WhV4eO94cPYo8XFEMxROPp7LBJVxz3YVfIBO49PQ+9Wk5tl43ffxD6ff/3X81sbh3FFxAnHEchhB4nNKhAJROQjf23TIh9bINWgXZsko24/LQOu3H4gvQ7fLQMu2noc9I4KjLghrd2D3H6bz7i0j98wLf+uoVHP+3mg34ll63LJ1EtZ9+Inw67xGWrswlKEv6ghCSBOUFJSXoCclloK3O8YbY4LYGCFB0NfXaq2y2o5KGE9pAyLohGIeP57d182DyCSikj26hGJsC/9gzyVn2sgU2pVCJLLeT1VonH32/kjboeTDolaoWMPf1OfvWfUEK/KIrk5uaycuVKdu3axf79++O60CrkMh68eDkmnZKGXju/+Pe+GX8mHDTrdrvZvn17zA2uXCbwq/UrSE5QsrfPwf/+s2maI00PmUzG8uXLycnJYcuWLQwNDc35WDMhLS2NwsJCvF4ve/bsiQT4ft5wWA6oe+65B0EQpv2zfXtIHnrbbbdx4oknUl5ezvXXX88jjzzC448/zvDwxFywI5gdRFFkdHSU5uZmtmzZEhO8qtPpKC0tpbS0lNTU1JhtzwKzjrvPDPFRj37cwebW+YVp5iVrueesMX7rk04+3T+/4+WYtNwzxm/9+dNOPmk5wG/lJWtZZAwlgEdfEJ3+IHqVnFU5hgnHyzao+fE5B/iyl2t62d5uQaOQ4RfFsRLC0LFEQso/EfCLIYl7XkoCeo0CQSYgF0JD76QiEwBWd4CfnVPExm+u5vlrVvLbi5dy2xcKWJ1nwKhVoFEcWIn5Reh2iOwekfikX+C1fV6e2jHCL95txz4m9vjLli6e3tSJTiVHo5SRqleRqlfhD0oERAlvQCRZFytxV8hkZCZpcPkCjLj8uHxipFpkU+soG2pCsvX0JBUmnRKlXIZZr8KgVbCpdRR7VFK6wxvglbo+FFo9Jel69AEbOQYFBSmhrd/nqnt5Z88gPp8PURRJS0tj7dq1tLe309/fH9eQSk/S8MuLQibbv23t4p+7J3V5xyDMf6lUqgn8V3qSml9etByA57d38/ddMx9vKgiCQGFhIUuXLqWmpobOzs45H2sm6HQ6EhMTGRkZOaj818HEYUmmfOMb3+Dyyy+f9nvy8/Mn/fewYqW5uRmz2bzQp/Zfj8nimJKTkykoKMBkMkWMxoODg9PKZs9ensa2dgsv1/bxP6/vZcP1qyKy6rngzGVpbGu38lJNL3e8vpcN11fN+VgAp5elsq3Kwgs7evnBG428dH1VxGB768kF/OCNvdi9wcjKSSETuPG4XIy6yf1Jp5amcmnlCC/W9PPLfzcjSRIJY98qjP18eDEVXffuD0qoZJBr0uANiKH6C3eA4wpNZBjUPF/dx4/+uZ8N169i+aIEskdHyZV7WSq4sWd60ScZWZSRQpLJjM0vo6G9jw3b2mmwyhEEWSiayR/EF5Wk3hKVjWhxx1605DIBi9tP/4v1Y54wDVqljA+bh1mSqkerkuMf68ra3m6lz+7ll/9upiQtgdTEWO43Ua1g2OnH4vaTqAldavYNOBm0e8k361DIdCgVCoaHh8hOSCKYmsC+QSf3/H0fpekJLDKBSqWKCA02bdqE2+0mEAjMyAOfUJzCDcfl8djH7dz5egPLMhPJSZ6e/5TL5VRUVNDY2MjmzZupqqrCZArdKBw/xm89+lEbd70ROl5enDUhkyErKyvGaFtcXHxQZOgymYw1a9Yc9KDZg4XDckCFJa5zQU1NDRBysx/BzAgbjcORNQ6HI2I0zsvLm5fR+PbTCqnrttE86OJ/Xt/Lo1esiDGxzhbfP3Uxdd02mgac/M/re7mucH576987NXR+e/ud3P7aXh77UjkKmcAxi008cvkKNtT2sm/ASaZBw/nl6RxdYIr5eUmSEEWR3t5empubWae2sTlRQYddCkUGyZUkyMDm9hMtdJOPEVECoW0ypz9UkqhWhGTpCrmMxamJXLwqh7ouO3v6nXz9b9u5ZYkfjfpAyv34/MZkIMtUwEu7Rkl02slIUqLXJwACTm+AYYcXXxC6rR4yDWpK0hKo77bj9AXxB8WQkEOU6Bz10Dk6OZEvlwnoVHISVHLkMiJV8Y0DThK1CrINGmRjr7HNE0A/JpkPIzD2OOH6LL1ej0KhoKV7kEydFk1WIvU9dm5/o4knv7Qc8KFUKtFqteTm5tLR0RGJEprpQnvrFwrZ3m6hptPKt17axXPXrUalmH7TSBAESktL0Wq1bN++PcZo+/9OXsz2dgvVHRZue6me569fM+PxpkOY/4ouWjwYCAfN7t69+6AHzS40DssBFS82bdrE5s2bOfnkkzEYDGzbto3bbruN88477wiHNA0mi2NKTk4mNzeX5OTkBTP6aZVyHrhoKZc/sYMtbRYe+6SDm4+fezKyRinnVxeVcdnjO9jabiVdJqN0ydzPL8xvXfr4DrZ3hPiyb5yYD0Bphp67ziie8DOBQCBS7RE2GrtcLjIyMli2bBmllVLED2bzBEjUKFAqQgIDGOOXBAG9Wo5cgFFXgEG7H4VBhj8o4vQGWJqmxeAbZPvWvVyc7eJXw3KaRoLUBLL4/iml094w2D0BnH5INerxeZzYbCKJiYmhNHaHj+uOzeHX7+6n1+rlrGXp/Oz8pezsDqVKZBnUyARhzBfmCaUx2EIZie0jLvzBUDmj3ROI2baDkBn2w32hrVKtUoZaIUMuE1iemchb9f2R1VhqopokbehcUhNDMna1Wo1Ml0SyYOfS5QZ+MKJgV4+dhz7s4Nsn5+P3h7rF5HJ5ZBUfjhJKSpo69V0pl/HrS1ZwwcNb2NVj4/539nHnmfG9YaKNti6Xi4KCggi/df4jW9jda+cX/2rih2eXxnW8qRBdtLh9+/aD5m0M81+HImh2IfG5HlBqtZoXXniBe++9F6/XS15eHjfccAPf//73P+tTO6wQVtyFL6o2m43ExETMZjM5OTkxOWoLjcUpOu46o5g732zkDx+28+z2HgrM2pheqMyxWKGp6jWiUWDWcfdZxdzxeiNvtYp8ocvBKfOIXclL1vKjs4q5/bW9/OnjDlblGmJWSpPFMYWNxkuXLqWhoSHihwPI1cA9ZxfzvVf34hu7oGsUobRwAUhQy9Eq5REOx+kLIgjQa3WjAJabJM7JCCAGNRQWFrJmTTKmxaN8e8Nunt7WxzHFaRxfNHHretDu5d3GITpH3Ti8AWSCQLbRiM1mw2q1oNLqUcpllGXoue+8Um59aRePf9rB6jwjJxbHHm98N5PLF+Qn/2iix+ImVa/G4xexuH30Wr2kJapw+0WaolI43H4xEjP1QfMIH4zzsGmVoeGlVshIUCmQCZCWpOboFcUEbJ1cs1TO73YE+MuWbtbkGTmh0ITf748o7JYtW8b+/fsjF9qwWXwyZBo0/PzCpdz8bB1/2dzJunwTp5SlzfCuCCHMf+3YsQO3201ZWRkZBg2/vHAZN/6tlr9u7WJtgYml81yMhPmvnTt30tLSglY7ecDyfBEOmtXpdAc9aHah8LkeUFVVVWzevPmzPo3DEn6/P+ZOPxzHlJ2dzYoVKyImzEOB88rT2dpu4fWd/Yy6/Iy6/FN+b7heI5SLp44UHoaHWbJOyTnL09nWZuWVuj5+8p8uKhZnzIvfOmtZGlvbQnzZHa/v5YWvViD3h4bS0FDI/GoymSJpANEXkPFRRJIk8cViE+tXpvFy3QAA951TzMcto7y9e5BEjRKFTEAURUacPnwBCcRAqLNJJjAk6ahYvYJFpgP8xhlL03hvxRBv1ffznZd38/KNq8mJ+v97+uzc83YjAzYfEqHgVI8/iChKZBoSGbU56B20UZGXzLKsRFbKZFy5Jptnt3Vzx2t7eOWm1VPmHUIoff2qtYt4clMn/TYPgiCglMs4Y1kaNxyXh1Gr5H//uY+/bu0iUS3nW18oRK2UYXH5QxmJlrG6FasHmycQGV4Ob5BhZ+i90DbiZmubBQipGbVycAfh2y83cHlVFjlJMiTnCOl6BV5/SDmq1Wqpra1lyZIl0+6YnLwklWuPyeWJTzu447WGuMsR4YDRtrq6mh07dlBRUcGJJSlcd2wej3/Szp2v7+EP5+UwX+tqmP+qrq6OlJaG+a+FRjT/5XK5Dhr/tRD43EcdHWyEo466urpISkqirq6OlJQUsrOzP7NzmizqSJIkHA5HzCopISEBs9lMcnLygidejI86mgkuX5BLHw9VS5SkJXDWslT6bL5QvYLNS5/VE1GaTQf1WDdQWqKKXd1WXIHQKu0HpxWSbdKQnqieNLdvJozYHFz9TD1tFj/FSRLfWaUkNSUFs9mM0Wic0sv1ySefUFpaGrOnLwgCvqDEV57ZSdOAi3X5Ru49q4jbXtpFh8WLKIbk3V4RFDJIT1QjyGQERQmbx8+JxWbuH1Oh+YMiv9u4n3/sHqDf5iUoQYJKzqNXllOVa0SUJP7fi7vY3WMnM0mNTCYQFENFkaIEGUkqVAo5ixIkTjI7OXHtSpKTk/EFRK58spqGXgdVOQaeuroCxQzvD4vLT123Dac3QKZBw7KsRFRjz7UvIPKlJ3ewu9dO5aIknrq6ctLXwekN0GM9MLAiX8e2Ewfsobr66SAAKXoV2UYtZq2A4LZQmGFkZXEu2cZQDFPSuLBdf1DkS09sp67LxspFSfzvF9OwWUaoqopPbOP3+6mtrcXn87Fq1SrkShVXPVlNTaeVJakafrBWzVFr18R1rOnQ3d1NS0sLXq933kGzM0UdORwOqqurMRqNMwbNRkcdyWSyQ9bKcGRAzYDDeUClpKTErJKCwSAmkymSc3cw1TqzHVAQ6u254okaPAGRW0/K5/pjY+967Z5ATD9UdENvn9XLoMPHTG9WAUhNVIVWXEkH0snD/x2u1wgGgzGNxh6PB7cyiR994sITkLjl+Dy+dsJEviy8Sgp/3b59O+np6eTl5SEIAnK5PGKFqG8f4Jpn9+AJSJyxSOSckgTqbRr228Hhk6jtsmHSKZFHXRhcY1t+r9+8BpNOxXPbunn4w1bUSjkquUDbiDviXXrzlnVYXH6+9txOtEp5zPaoLxDqw7r5+DxW55nIN2vp7e1lz549lJWVkZWVRceIm4sf24bDG+SGY3O57YuFcb+Wk6Fz1M36P4WOd/0xuXz7lPiPF77B6hsYZF/XIO1Ddnrccl5vlQhIAlkGNWqFnB6rB29gZk+PXi0na2xYZY11RGkUMn79bgtOX5CLlhm5pEgW94CC0Gvf0NDA4OAgq1atwiGquOCRzVjdAc4oUPPba46P+1hTIZzFl5+fT11dHYWFhRQUFMxphRNPFl84/1Amk00bNPtZDajP9Rbf/zWEg1c9Hg9tbW3s2bMnhg8xGo2HdS5gUWoCPzi9iLvfbuL3H7RRmWNgVe4BX1GiRkGiRkFJ2uT1Br6ASL/dGxla23a30OZRs7M3JJtWyCAgwoDdx4DdR+0U56FThtp4zRqBbKOWvFQTBekmFpm0fEtl4+fv7Ofhj9pZlWtgbb4RURQjf8IID6OysjJ27dqFJEkUFBQwODjI0NAQQ0NDSJLE9Sv1/L7awb+6ZFx68hJuPS60bfPGzj7qe+wTksBlAgSl0DadJEm8sbMPQRAiMu3MJDU91lAC+eOftHNeeSaSBOOvX4IQ+pNn1kU8RllZWajVanbu3Inb7Wbx4sX8+NxSvr1hN4990sGaPCPHTcJvxYsck5afnFvKbRt28+cxfuuE4qmPFxachJ8vv9+P2WymvDCbk9ea0Wq1VGxp4Yf/6qDH6uWPl6/gxGIzQw4vXSNO+mw+Bpyhm5quERctfaMMu0Uc/tD2YVO/g6b+yVt6X9lt4d19Akvqqsk2asa2kDWh/zZqyUxSo1bGrpplMtkE/utnFyzjlufq+Gerl//sHeCU0vj4rZkwGf91MD7b0fzX5s2bWb169SHte5oJRwbUYY5gMBippwh/iGUyGSkpKaxcufKgEaoHCxesTGdbh4U36wf4/mt72HD9qhgZ8nRQKQ50AwFkuNsoKVnMA58M8sbOfkw6FY9esQKPP0iPzUuPxU3boI2uYSe9Nh/DHhFXQMDlB5dfoNsJO4fd0OIGBiKPIwggSXDz8/WcXJxMQbKWjCTVgbZWow6VMrRSUqvVZGZm0tXVRUdHB3q9PvLaGAwGTpbJ6BX38nJNL99/tYFXblxDil5FeXYSaoUMtz+IThX6GEqShNsfpDAlgfQkdShU1uWLkTInaZW4xrqontvWzRWrs8lIUtM56kaTdCCeyeLyY9QqKRvHt5jN5ogvxu12c9rSpVy+Oovnt/fwP6/t4ZWb1pCWODd+0hcUMWiVrMo1UN1h5fZXG3jt5rWkj4X0hm+wwgNpdHQUrVZLSkoKy5Ytw2QyTbgIr19XyM5+Ny/VDnL7K7t49eZ1ZBm1mBNULAuEuDuFQoFCEVoV19fXMzBiJbNoKaNeIaYXKrKVaPUgAVafxNa2qU3fKXpVRH2YbdREtfWmkVOooqamlrKyUtYvN/HyrlHueLWB0psTWWRamM/kZPzXwcgBjfZ/bdq0Kcb/9VnjyBbfDPgstvii6ylGR0dRq9WkRPEhdXV1h13dxmzg8gW5/IkdtA67Oa7QxB8uWz5pp9BMCNdtaPQGrniyhv1DLo7KS+Luk1IYHRlhdHQUuVwe2fJMTk7GG2RsGzG2XqPH6qXP5mHA7puRAwEwamQYlSLJaokso5ac5ASUfjtmjYyT15ZjTtJFhoXbH+Tyx6vZN+Dk6AITf/rSSuQygfvfaeaVml5Exoy8QRGVQs595y7hxJKQBPimZ+to6LVHJNkQMt52joZqO9blG7l6XQ6/ercFpzeIWiHDFwwlPXzthHzOK5/8PeL1eqmpqUGhUFC6bAVfeWYne/scrM4z8MsLl5GokZOgiu9i2G/z8vfd/WzY0YPFHUCjEBh2+fEFJBan6HhsfQGWkdANls/nw2QyRbyO8dyt+wIiVzy+nT39TkpMcp6/6Wg0qlCVfDAYSvxQKBSR7dWmpia6urqmvNC6fAHWP/wp+0d85CVrOX9lJv2R94GHHot7QtnlZNApZRiUIikJctqtIjafRElaAi/ftG7O/qjJ6jbG81/xbt3PpW6jvb2dpqamCfzXEQ7qMMWhGFCT8SFGozEylLRabcwe9OHYBzVbNA04ufLJGrwBkdu+UMC1R0+s+54Jmzdvpri4GLlczo6WPr737wF8IlxcrOTqtZmYzWb0ev2k+/dhDinMJ4URECWGXQF2dNm59+/78AclytJ16OQSPVYvQ+4gfnHmYZqgkkW2irKMGtQKGc9uC1XZf/XoHL49xve8WtvL6zv7GLB7KctI5EtrslmTf+CiurFxiJ/8o4mAKKFXywkEJZy+IHkmLY0DDtx+kVtOyOeEYjNv1ffROuQmy6jhrGVprCuY/i44GAxGtvvM+aVc/lQ93oCITiUjJUHNqWUhtZpxmnbfHquHX/yrmbouCzZPEIUcBAT0SuhzBJGAk7IF/t+xGZGbhLmEB0fzZWcVKLjvkjVoNJqYISWXy1EoFMhkMjo6OmhsbGT58uWTmvY372rma6+24wpIXH9sHt877YDnTZIkLG7/gdWX5YCgI/zf49Pao3HtMbncfnrJrH9HmLoPajz/NZ3/K4y59kENDAxQV1dHUVFRpGjxCAf1fwxutztmlaRUHkgIMBqN//WVHiVpCfzPaYXc+/d9/G5jK1U5SVQsmphzNxnCRmOv18uuXbuQyWRkmM1889h0Hvion1eb/Zx7tIn8cW758QIHCHFJMpks1Ewrl6OVydBpgiTg5caqRP6wLZQ0cecxiRy/ZDFmsxkvihjpdOjrgTvwUZcfp09k34CTfZO09D65qZO/bO4cE21oWGTUsibPSJZBgz8o0TrkItOgRqOUc/KSFDyBIH/Z3MWA3YtcJnByiZlvnrSYLW2j/M9re3j4wzZW5xn5wRmzuyhGb+1s+KAOcSxJ3eUT6Q64+dvWblqH3Pzm0mVTKvz+vquftmEnQVFEIUgoCWX62bwCuQYF7dYAH3RLfEmZRmnq3P1qucnaCF/299YAhf/YwpdPqYqUhQYCgcigUiqV5ObmRmToLpeLxYsXx9yoZCYquakygV9vc/DnT9pZm2+KrFoFQcCkU2HSqViWNfkg8PiDkdd+Z3MXjZ2DtDpl7B0ReeLTDtbmmzh5ydxu3ibDZPzXXG8OZ0I0/+VyuSgrm7r88WDjv/sqeBghXNcdHkputxuDwYDZbKawsJCEhITD1otwsLC+IoOt7Rb+sXuQ7726l5euq5o06y4cxxR+7ux2O0lJSchkMgoKCsjOzg514UgSe0cl3t41wPde3cOL11Zi0imnFDiEt4RkMlnEjDs0NMTIyAgajYYvFqTQbJPxr0YLf6r3ccbR6eh0KnQwdvGa3E/j9gepbeqges9+1MmZuNBEhtnuXgduf5CgBF0WD12WqbuBzAnKCAdSviiJBJWcHJOWJel61AoZ565IZ2ubhVdqY/mt2UAQBIqKS/jXWwMEgwGUMgG/CKIIQUS2to9S02GNWdVB6AZraGiIjbs6Cbh9+PxChA9SyWS4fEESdVoMXjdWT4DbX22YF78FIT/YttUWntvezdNNkKHdzglryjGbzREOKhgM4vP5UKlUpKamxlTJL126NIbjWpul4strF/HXrV18/9XdvH7zOjIM8W2faZRyClISKEhJIFflYnWyD4VCwWPbR3m3S+R/Xm3gta+tIzPO48WDcNBsePCWlpaSkzP7nYd4MJ7/ysrKOiiPMxOODKiDCI/HE7NKCvMhixcvnpCj9n8RgiDwozOLaeh10D7i5odvNfK7S5YhCAJ+vz8mjilsNF60aBFmszmSOq3THeB6BEHgztMWs6vHRvuIhzvfbOQ3Fy1BPrZCCq+SZDJZRHwSJuy9Xm+EG1myZAkJCSEl4X2LA+z7czX7h1z8z2t7eOTK8hn5Mq1SztHLCijJSGLnzp3k5uayeHEZgiDg8gW57M/baRlysSIrkS+tXRSJFuqNcCBe3P6QiXXY6WdXz+TdQVqlnPQkFTqlnCGHjy89Wc0tJ+aTbdCSZdSQlqia0dsEsKfPgX2sG0omiQQFAVEKlSx6/EFqu2ysyjVgsVgiz5fL5cJgMKBVKwnK1ch8IYWlTCaL1IV4AkEWmTQYvUHaR9x8/5UGHr+qYn55jKcVUtNlZW+fgxc6tCQoallauoRFixZFbjgCgQA+XyjDLykpiaOPPprq6mqqq6uprKyM+dzdfnoJNZ1Wdvfa+faGXfzlmioUc/DRhYsWb1E3su/tLjocfm57qZ5nvrpqTr686TDeaFtSUnJQbm7DRYu1tbXs27fvkDbphvF/+wq5wBBFMeZO3+l0RoJXCwoKpuRD/i8jQa3gVxeW8aWnanh/3wi/+Uc9x6f5sNvtEaNxeXl5ZCtnMkTLwNVy+Pm5xVz91118st/CszsGuO6YXGQyGW63m76+vsgqSaVSRQbSVNxIgkrBg+uXcdnj1XzcMsITn3Zw/bHx5QmazWZWr15NbW1t5A5ep5Lz4MXLuezP26nvsdNn83LjcbHHkyQJqycwZl6NTWIIe8SGnT7c/iBtw+7Iz3WOerjjtb2Rv8sFgbQkVcQLlBn5qo78XaeS4w+KIVm6JKBUKpD8QdzBUIGiDBga6OWDD/ZH1KOFhYUkJyejVCrZL3Tz/PZu0vQqbB4/Tl9om00itAo7rjCZc1ZkcOmfq9nabuGPH7bxzZMK4nr+JoNaIefB9cu4+LHt7OxzU7MoA+W+fbjdboqKiiJtwoFAAL8/lFKh0WgiF9pwWGoYKkUor+/CR7dQ3WHhoY37ue2UojmdmyAILF9ayn2ightfaaWm08pv32vhu6dOzHScL5KTkyMrHLfbzYoVKw7KAAkXLW7fvp3R0VFsNhtGo3HBH2cqHBlQ88RkwavhJPDwh/gIJoff72d0dBRxZIiLFsPz++DpWgsrz17EscdMHccULXDw+XwExuTG4VXS8kUm/ue0In78jxC/lS6zk4Idl8sVEZ8UFxfHva1akq7nzjOKufutRn77XitVOQaqco1x/Y6JiYmsWbOG2tpaampqKC8vpzgtgTvPLOGHb+7loY2trMo1sCrqeIIgYNQqMWqVLM2cuI3YY/Vw87N19Fg8iIQGWiAoEW7USNWrGHX5CYjSmFrRSzXWCccBMGoVpCepEQBvUCQohcoTFULIICtKsMiUwKpVS0lMTBwbQKBUhi4dZy5PY2+/g/puG3q1AkkK4BclClN0XLlmEaeUpqJSyLjnnBJuf3UPj3zYxupcA0cvnjsflW/W8eNzlvDdVxr4y/YB1ly8hP7+/bjdbpYtWxYRS4SHlCiKKJVKqqqqaGhoYPPmzTFbVnlmHfedt5TbXqrn0Y/bWJ1vmjTvMF6sW17EnXaJH/6zncc+bmdNnpETSxaeL0pISIgEzW7bto2qqqoFC3qOhkwmIzc3F6fTydatW6msrDxkW35HVHwzYLyKr7a2Fr1ej0wmi/Ah4eDVlJSUedVTxIvPq4pvsuBVnU4XUXf9dGMf/947RJZBzYvXVWGIUo9NZpZtaWlhdHSUlStXRl4Tj8fD0NAQg4ODPLBplB1DAik6GY9fUkxBdtqct1UlSeL7r+7h7V39ZCSpeeXGNVN2Q02GQCBAfX09brebyspKNBoN//PaHt6s7yc9Uc0rN63GpIvv4vLTfzTx+s4+ktSKSLWF2x9KT/cHJdISVbx0/WpEidg4oTEhR9eom85Rd0xH1HSQC7A0MxGHN4jN7UchF1iSrufLa3NYV2AkKEpsbbPQMuREq5RTlWOgOG3i8P/hmyE/mDlBxSs3rSZVP788yB+91chLO3owJyh5/qsVdDc3IAgCK1euRKVSxSj83AHwBCXMCWq6O9tpbm4mMTGRo48++sDx3tzD89u7SU5Q8trNR0X8WzOhs7OT/v5+Vq9eHfPvd76ykw11AySpBN74+jFkGmf2R02l4psOYTWm3W5n1apVke3puar4JkNYxZefn8/Q0BBr1sw/1ikefO4G1E9/+lPefvttamtrUalUWCyWCd/T0dHB17/+dd577z20Wi1XXnklv/rVr+Z0dzEyMkJeXh4PPPAA5eXlDAwMIAhCRAIe5kMOJT5PAyoQCESMxuF6iuTk5EnjmOyeAJc+voMui4eTS5J58MLSyEoJiEQIhVdKEBpSXV1dpKam4nA4cDqdGAwGUlJS0CSa+Orze+kYcXNySQq/v2z5vG4enN4Al/x5O23Dbk4qNvOHy1fM6niiKNLU1ER/f3/IdKlN4NLHqmkddnFCUTJ/vGJmfgvgtN9twuENoFcfGLaSJGF1+1Eq5Iy6/BxXmDwpX+bw+vn6s3U0DTgRJJGgKOGXBHRKGYWpOtpGfdg8AcSxSviZIBMgLVEdkdNnxmwnhrYSE8bOM9oPdlSBicfG/GBzhccf5Ionqmnsd7Iu38ijV6xgT8NuHA4HlZWV6HQ67J4Ar9R0s73dii8okZak5vSl6Zg8PfT29lJWVhYJmvX6g1z6523s7XOwNt/Ik1+Jj4+aakB5/UEueWwrjf1OliTLefFrx6KZ4VoxlwEFodd/vP/rYAyoIz6oGfCjH/0Io9FIV1cXjz/++IQBFQwGIxLMBx54gOHhYa6++mouuugiHnroobgeQxRFamtr+fvf/84rr7xCXV0dxcXFPPvss1itVjIyMj7TmPrDeUCF0wLCA8lisUTimMxmMwaDYcq9clEU2dVj45q/1uMPSnz3C3lcuTorRLyPKe9kMlmk9TdcsihJEsFgkJycHAoLC2M+PA29dq54ohp/UOL204q4+qj5qZ729jm4/PFqfEGR751ayFePnl3vmCRJdHR00NLSwvLlyxmVdFz+eDXegMh3vriY647NY9Dh5eUdvTQNOElPUrO+MpOi1APxT1MNKJsnwLkrMnilthdPQOS2LyzmhuPyIoKToaEh/r57kJf3Q5JahkalRK6QIyEw5PBxUUUm3zmlEEmSQoG3AZHN+0e45YV6RAkSlDLUyhBn5QtKcWXiASRpFJHBpVPJ+FfDIAFR4pKqTL5xUgHmBNWcjNoArUMuLn5sO25/kK+fmM8tJ+Szb98+enp6KF+5kr/WjrKlzUKyToFKLmB1BxAEGecUa8iS2XA6nWRnZ7NkyRIEQaB1yMlFj27F5Qtyy4kF3PqFmfMEpxpQAG3DLi58ZAsuX5CzC+T89LKjpk1/meuACiPa/wUcGVCfFZ566im+9a1vTRhQ//jHPzjnnHPo7OyM7JM+//zzXHPNNQwMDMxocGtvb2fdunW4XC5OPfVUjj/+eO6991527dp12IXFHi4DKjqOaXh4GJ/Ph9FojAylqdICpvIlvbCjj1/8pxWFTOCZqysoX2TAarVGBlJYZh7eVk1KSmJ4eJj6+nry8vImhGs+u62L+/6xD4VM4K9fraI8e2aT43R4fns3P/57U+j8rqlkZZz+rWj09/eze/duioqK2Dyo4J63G5ELAveeu4T732nG6Q0iShIyQUAQ4Gfnl3HW8nQAfvavfbxS20uSWhFZgbh8QUQJHr5iBfsGnNz9ViMyAe5YqyVd7iAhIYGUlBSe2+PlX40W0sZtX426fOSYtDxzzcTw1K88FSp0BAmlTECjlJOcoMIfECnL1HPDcflRBYchUUfoa6heYyao5DIyDAdWYVkGDYlqBVaPH61STmWOgcocw5RD7I2dffzPa3sQgCeuqmBdgYnOzk4+qN3HO4N60k0JY/xY6D3XOeImVStxeYmcstJSqqurSUxMpLy8HLlczps7+/juy7sQBHjiqkqOKZyej5puQAG8Xd/HtzfsQgC+WS7jqlNXT3kdmu+AAhgcHKS2tpbU1FTcbnfMNuZcccSou0DYtGkTy5cvjyHxTj/9dLxeL9XV1Zx88snT/nxOTg7PP/88xxxzDCqVipGREW677baDfdqfO4iiyNDQED09PYyOjqJSqTCbzZSUlGAymaZdJU3lSwp//crReWzvsPFu0zBfeqqGZDWkaCDToCYvJZHFGdkkmRNQGzRo9erIluvq1asjGXPR4ZpXrM5ma5uFf+8ZjPQpJWnm/gG7bFUWW9ss/LNhgO+83MDLN66O4cviQXp6ekQqXJ6RwXGFyXzcMsKP3mpEkiRkQqheXZIkgmKIbzmh2IxereCao3LY1mahy+IGCRBAJgicXpyE3NJJim2INakS2wYFHt3l58Vr15FhCoktkrtbEQRLZJUURlCUYlZk0TiwyxXySEm+IL0BD2qFnGyjlvLspCmH/lT1Gpv2jzIy1gvmC4p0jLjpGHFPegwIlRwWpSaM1WmoIyuyLKOGk0rMXFSRySu1vXxvzA+Wk5ODacDPaEsbaToZkioRQQgR/klaBYMOF26/LEZosHXrVqqqqji3PIMtrSO8tKOH772ym9duXhcTNTVbnL0igy1to7ww5t9K12zhxLUHz2gb9n9t3boVmUyGKIqHdYj0dPivG1B9fX2kp6fH/JvJZEKlUtHX1zfjz8tkMk466aSDdHafX4w3GrtcoQTxzMzMSEvnbCKFwlxSdD2F3W6P+GxONdqo1SgY9kgMeWDIA3stXmj3AkMHjkOIAwlftNL06QR2D7K5fStHV5SSa9ajVyv4ybmlNPTa6bJ4uOuNvfz2krnzUYIg8ONzl7C7107nqJs739jLQ5fO/ngGg4HlFav45rPV7BoOrSCDY0GAAuFEcgEZoRDZj5pHOHNZGpkGDY99qZyXtnewdf8IcslHWaKXtWkOVKpUysvL+f06PZc9sYO2YTff2NDI908tZFWukZNKzLxa24vVHcCgPcANAZy+dOIF0+L202/zoRBCsnOJ0FcxKAFB1uYbp/0dE9QKitMUFI9LqHf5glz65+3sH3KxKtfAN07Mp8/mo3nQwet1fbh8oZgkb0BElEItvfU9duqn8IQlqGSo5KGtykse284Va7IQRRkKdQK9I3ZS/H4SkxLxerz0j7hQ4yNBoycQCKBSqVizZg319fURGfqdZy6hrstK04CT7768iye+UjUvvuwHZ5RQ22mlsd/Bhi49icpaykqnL1qcD5KSkiguLqaxsXFS/9fnBYfFGd9zzz3ce++9037Ptm3bplxCj8dkF4rxd4xHMDPGG40VCkUk+aK1tZWCgoJJ7wLDK6TxAofxZlm/3x8ZSENDQ4iiGGn9XblyJXkrPFz1ZA0BUeLcFenkJWtDPVFR8UK+YMgg2m/3UtNlizoLP2yvAQ5wIOlJanqsHv6zd4g739jLZauyyDJoMOtnz4Ho1Qp+ffEyrniimvcah/jr1i6uWjd7fuuhj7tpGA2JDQQJwhtiYQ9SNDy+QEydR3HQx7rKZFJSQt1g0dyGxx+kKCWBtmE3Db12bnp2JyXpCfzveWVce0wuT27qZMjhAwGUMoFTS1M5e3k649E+7CIgSmQaNAw4vHgDIY+TIIBKJmFQz+3OXKeS8+uLl3HZn6up7rBS123nxuPyeHtXP+81DrEsKxGZEFpB+oMSXRY3CSoF55ZnTNhOtLhD0VJh9Nu9/Oa91pjHE4bcqGRuVHIBuVxG5aJk9noMWPcNssikY1GyjpUrV9LU1MSWLVuorKzkN5eWs/7RLWxuHeXhD1v5xkmL5/S7Qih54jeXrmD9o1up6XFSlZOFYt8+XC5XhP9aaKhUqoiqODx4P2/tB4fFgPrGN77B5ZdfPu335Ofnx3WsjIwMtmzZEvNvo6Oj+P3+CSurI4iFKIpYrdaYVVI4jmnx4sUxvqG2traYn5tqlRQdKSQIAg6HI3KBtVqtEW5kxYoVE/qsVmar+e4phfz83838s2GA565dFeMLEiWJEad/8kw8i4euUScOX0g8YPPE9gK9VtfHa3WhFbVSLpCRNKY6M2rITNKMfT3w98nSqZdmJvL9U4v46T/3cf87LVQsMrBiFvyW3RPg7V2hmg+lQk4wGCQQVSosihIyWciLJACBngYanRpSUlIoKyubdiv10Y/a2dw2SoJShtMv4g2INA84+f6rDTx33SqOWZzMJ/tH8AdFKhcZKF+UNOmQTtIoUcplaJQyTDolPVYPQ04/ogRqhUDbvj2UpVXNqUOoOE3PnWcW88M3G3lo434yDWq2t1tw+YIEghIqReg9o1IIGDRKlAoZX1m3aMLF3OkL0Df2ur9V18Obu0Mr7CydhCsgYPWBhIBXDLUY4xfZ2GxhY7Ml5jgpCSoyjRpMqgQ2tFSzNC+DS1Zl85fNnfzh/f2szjVy1Dz8W4tTErj33FK+9/Juntjay5pLlzIw0Izb7Y7wXwsNQRBi/F/xBs0eLjgsBlQ4en8hcPTRR/PTn/6U3t7eSIrxv//9b9RqdYyD/AhCCCviwkZjuVxOcnIyBQUFmEymKcnQ8DDy+/3TrpICgUBEQRZdSpeZmcny5ctnvKO7at0itrZbeK9xiNs2hPijMFciEwRS9KpIv9Jk57inuZWaxjaSMvJxoqbH4ubNXaH6dLkQivPxByU6x7xBUyFFr4pJYQhLqatyDJxUbOb9fcN85+XdbJgFvzXi8hEIipHBIJfLUYhBAlKIWAptpYkICFy8wshZJ5VEPC7Twe0P8mZ9PwqZQIJGgejy4x4bUp0jbja1jHBiSUqkyHA65Ju1LM3UU91hJVWvIi9Zi1+UsLoDOP0CuWnJbN26lYqKirgTBmweP05vkNREFRdVZLKldZS3dg1w1xt7x0zGAep77OSbQ71PkiRh8wY4Icc8YTiJoojXYSM4OoR8aIhTDS5Gs9V83B3AL6h48xtr0GsUbG+z0D7ioqevj2GrE5k+hUFXMBLw6/GLDDl9DEVSygXe6+4/8DgSXP30DvLNOnKTtaFyQ0Oo3FDudSH3hCT7M20Dnlce+n037Ojhh2838+J1VXQ07WLr1q0H7foUDpptbW096EGzC43DYkDNBh0dHYyMjNDR0UEwGKS2thaAoqIi9Ho9p512GkuXLuWqq67i/vvvZ2RkhO9+97vccMMNn6s7h4OFcPBqWBHndDojRuO8vLwpjcbhlVF4+04mk2GxWCJ38dGrpNmW0k0HQRC477xS1v9pG52jbn70ViO/umhpXFsigiCwtHgx5qQEdu/eTUVxMTmri7ju2Dwufmw73RYPp5am8L1TiyJ5eAcihQ6sxDwBkSGHjyGHj53dUzwWofDXc/6whS+WppA1locXHmqpevWEi1d6ohqdSoHD60dGaDtLLkiIkoA4pn7Qq5XccXoR56/MiHsbyO4J4PEHUcplY8ncSvx2HwFRwh0I0mfzxnWc8HP4rS8Uct8/mmgZdIbk5io5voCI2y/yZEOA248pYMeOHSxbtmzaXYoRp49HPmrjo+YRAqJERpKaL69dxAnFZv69ZxBfUMIXEEnTKxl0+GgecOJLlvAEgph0Ks5fGVKthreew5FV4yOYjpFkEX7rjtf38siV5RxbZOZYzEjSItra2mhra2PF8StISUlBkiRGHF66R1302cdaeq1e2ofs7O8bZcQrYPOFbsLahl20Dbsm/f3k771HRtKBGKnw6x9dPa9VybnrzCXsHOO37nyziUevXE3D7l1s2rTpoIW/CoLA4sWLI0GzS5YcPP5rIfG5G1B33303Tz/9dOTvlZWVAGzcuJGTTjoJuVzO22+/zS233MKxxx4bY9T9vwqfz8fIyEhkpSQIAsnJyeTm5pKcnDyl0Xi6eori4mJ27doFQHFxceT40cGrqamplJWVzbtC2qhV8uD6ZVz1VA3/2D3A2nwjl62KX+afnp6OWq2OVC+UlJTwq4uWctVTNbyzd4ijCpK5Ys3kxzvQDTR9vUbYqzHk9PNCde+E4yhkAunhi1eSGpNaQi/4KDME2dIn4RNBIQdJkCGXw2KThrZhD3ZvAJsnMCuOwqRTYtQpGXL4UCtkyASBZJ2SAYePoAhNA5PXoE+FbKOG3166nOp2C/12L+mJavRqBVc9VcP7+4ZZk2/k7OXL2bVrF263m7y8vAnn6w+K3PXGXup7bGiVcpRygfYRF/e/00y+WUeOSUvrsIshp5+iVB2LUxJoH3Xj9gc5rjCZUwr1KB39bN68G7vdHjFjFxQUTLipUkKE3/q4ZYTHP+nghrG8Q0EQKCgoQKvVsnPnTkpKSkIBxIkaTAkqSsdis5RKJXK5HI/HQ3V1Nd0uGfdtduMNiJxSmkpJup4eS+j17xh2MOjwExQlui2hzqjpXpsw76kYcvHp/hF+/0Ebt30xxH+1tLQc1Mr1zMxMNBpNpErjYPFfC4XPrQ/qUOGzaNSdCTP5oCRJwm63x9RT6PX6iC8pKSlpyjflVDLw8NZd+I/L5aKvr4+2tjaCwSAajYbU1NR5ldLNhCc+7eBX/2lBJZfx/HWrKM3Qz+rnXS4XNTU16PV6li9fzjNbu/nlOy0o5cIEfms2cI91Az2zuYsXdvQgE0IhqS5fkB6rl36bl2CcH7OQKlHFSSUpDFhdbGy2IBfgkStWcEzhxC2uqfDXrV089H4rMkCjlBEISth9AXwB6aD5wQqSBGpqakhLS2PJkiUxK+VP94/wg9f3kKhRoI7i8wbsPiRJIscY2jrc3WtHANbkJjFod3PCIiVrja5IxmU4wSWe9JaXa3r44Zshf9lTV1fE5B1CiJuuq6vDnJ6JwpiFUiEj16QBMRgzpAKBALW1tfynxcGTDQFkAvzlmlWRCpLOzk56+/rIW7IiUmjYbYmKmLK46bZ6cHqDk5xlSCDz9DWrWJtvor6+nu7ubsrLy+eddzddkoTT6Zzg/5oOR4y6hyk+LwPK7/fHrJLC9RThgTFT8Or4VVK0DDyM6HoKt9uNyWTCZDJFIoyqqqrirqOeC0RJ4uvP1/PBvmHyzVpeun51JEYnXvh8Purq6hBFkZUrV/Kd15rY2DRMbrKWDTesntILFA8kSeL/vbiLdxuHyDFpePzSYty2UQYGB+kZdeFT6PEpE3BIaobd4oG6+bF6jZmgUQiR7aJMQ6ilt8fiRiYTWJdv4sKKTHSq0OslShJPb+7kuW3dOLwBZDKBYwpMOHxB3m8aJtuombcfTJIkvvNyA/9sGCDLEDqeigA1NTX4ZGqUKXkYdCqWZiby7LZu/vRxO2mJsYPF7gmtEFP1KnKSFNT3OhlyBVEKEmkJAjeuSeXUFYswGAyzvtOXJInbX9vDW/VT5yf+u76bZz7ZhzMgR69PIM+s40trslicrImIfJRKZaTR9pcf9rOlXyItUc3rX1tHcoJqRqNuGDa3P6pWPjTE/t3QT5fFEzme2zJIa2srHo+HgoKCCUWLs8FMUUc+n48dO3YgSRKrVq2adugfGVCHKQ7XAZWZmYler48MJJvNFqmnCK+S4qmnCGOyVVK49Te8169QKCKClug+K1EU2bt3L0NDQ1RWVpKYOLeVSDywuPxc9Kdt9Nm8nL08nV9eWDbrD3AwGKShoQGLxcLi0hVc9bcG+mxezlqWxv1x8luTwev10tYzwA0b9jPkFqlKhduPS4msLKcTnExVr9E16mZvvwMxzk9pepKaRcYDIo4UvQqFIFCYqmNZVhJBUeLix7bROerhlNKUefnBABzeAOv/tJ3OUTdfWJLCby9ZxmMft/HStk7cARGNWsXilASOWZzMU5s6MOtVES5OkiSG7F40MokEeRCbD/QaOW3WUJRSZpKat25Zi1Y195uG6PzEE8fyE8OilLouK799rxV/MIjC7yQogUeuJcug5a4zijBo5EiShEKhiHCse/bt5+ZX9tPvFji+yMyfvlRBd3dXXANqMrh8QS7+01ZaBp0cV2TmnpNT6e3poXQs4SLM3c7FaBtPFl8wGKS+vh6r1cqqVavQ6yfflTgyoA5THE4DKhAIMDIyQlNTU2TFYzKZJg1ejcZMq6Rw1h0QMeMODQ3FBK+mpKRM22clSRJtbW20trZSXl6+YKrMybCjw8LVT9cSlCR+fM4SLq6a/VaIJEm0tLTQ2dmJLK2Ib7zSQlCSuOfsJVy6Kr7jSZIUiWAaGhqKRDANk8jt7/QTFOHus0q4fPX83is7u218+ckdBESJE7OgNC+Txzb3IkkhP5I0ZqCNB0atEpNOQduwGwk4pTSFc1akR0h8k04564EVnXd41rI0tndYUMplKCU/Xn8QHwqyjFq8AZEhh5dElYAUDODyifgkgYuXGTi5LIN39zvZ0+fAGxCp77YRlOD7pxZyzSzzDscjOj/xu6cUcu0xoeM99H4rn7QMszglIcQ1Wix4vV7sQgLXH5fP6UvTCAQCEVGQUqlEJpPxye42btqwD78o8J1TijgzXz7nAQXQ1O/gkse24vGLXL8mlRPTvKxduzbCf6lUKioqKmY9FOINi40Omq2srCQ5eaKU/siAOkzxWQ6o6ODVsG9Iq9USDAZJT09n8eLF814leb3eyAU2WhEVXiXN9o3Y19dHQ0MDxcXFB02RBPDYx+38+r39qBUyXrhuFSXps+Ojwuju7mbv3r3s9Kfz2NZB1IoQv7VkiuOF+7+ig2rDz1c0N/Lkpg7ufyfElz13XRVlGfNbVT69uZNf/LsZpQyOSpPYNCBDITtgSg8bWtVKOfeeXTKmSjxgau6xenBMwYFEQ6OQkTmJnD6c1JGepJ60IfZvW7v46T/3IQAmXWggSRJ4vR7cXh/OgIwTMyVqhySsfhkIMnQqBSeXpvC9U4oiPjNvIIhMEHi5pnfeeYfReKG6m3vfDh3vL1dXUpFj4Aev76HX6ompZbfZbLQMubi4ahHXnRgqGgxXyQuCgEqlQiaT8eSHTfz83Q5kAlxVaSZD6eGSL6whUTO31d6GHd3c+foeZAL84CgdV51xDECE//J4PLM22s42zbyzs5O9e/eybNmyCfzXkSy+IwCYNHjVZDKRlpZGWVkZWq2WHTt2RPqPwphOcReddScIQsxdv8PhICkpaUpF1GyRkZGBRqOJtMgWFxcfFJXQdcfmsq3dwsctI3z75d28cP0qEuawFZSdnR1aedbtZFWWhuoeD9/esJsXbwgdLyw4CT9fNpsNvV5PSkoKFRUVU26lhvPy3t83zLc37GbDDbPny6LxlXWL2NpmYWPTEDUjciQxiBRVry4IAjIhFJV05vL0SU23dk8gsnXYbXHz163dtI+E0hWStAqGHX48AZHWYRetU0ipo6Olok3N2QY16/KNbGmzYPUEMLo9SGKQYCCIQiYgiiKpJgMbLitnR6cNuyfAknQ9hamxvi61IsShXbYqiy1to/yrYXDOeYfRuLQqlJ/4j90DfOeV3bx84xoWGTW0DDpjUmYS9Ilo7EGs/Z309SWSkZExoUpepVJxwap8nq8ZpG3Ezd9qhsk3yNjj3st1x+ZROoebkfWVWWxpHeWNnX38ocbN2cf7SE5QoVAoqKqqYs+ePWzevJmqqioMhvkN66mQk5ODRqOhrq4Ot9s9L/5roXBkBTUDDsUKanw9hVqtjmzbGY3GCQqbsEgiLS1tylVSdD3F+Lt+YNaKqNnC6XRSU1NDYmIiy5cvPyiqvhGnj4v+tI0Bu4/zyzP42QVlcz6W3W7n4601/HSHxIhb5NRiAzesUDE8PByJYAo/X/EKQWL5sjR+eeHc+S0I5eKt/9M2eq1eBEJRSAp5KO08KIYadfPNuriHtdXtj/jBTl+ays/PL6Pf7pu05DDsDfMF46vYEACtUkCtlKOQyfD4A5ySKXJeRSarl5cgj4NTsXsCEb7si0tS+N0c8g6j4fAGuPix7ZF+sK8dn8dvNu7H4xdJ1asIShL9Ni+LTFpuWWemvamBgoIC8vPzEYTQkA23Nz+/o4+/7xqgedCJ0xfEpIKCtETyU/Xcc3YpauXs3+9Ob4Dz//ApnVYfJxabeeTKikghZXgLvbm5mZUrV5KWljbj8ebaB2Wz2SbwX0e2+A5THIwBFQwGY4JXPR5PDJc0Uz1FTU0N6enpEVPkZKuksBk3zI0kJiZGLrBzUUTNBWHFnCRJVFRUHJRBuL3dwjV/qUGU4KfnlXJhReasjyFJEg6Hg76+Pt7f1clv60FE4JtrTVy2NndCBNNsUNNp5StP1RCUJO49ZwmXzIEvi0Ztp5WvPB3KJ5RNwT8lahT86cryuLbF6rqsXPVU6Hgz8WWiJDHs9NFr9dLab6Wlb5SOITs9Vi9Wv8CoT8Dhm/lyopAxwcwaSSc3aMhIUke2/Hb32LnyyRC/dcfpxVy1bn49bOP7wUrSEni1to9+uweZIFCYksCX1i6iIEWH3W6npqaGlJQUSktLI8ngNpeXu9/ehwgo5TLe2TOIKEF+IpiNiXz/9FIqcua2yvlwZwu3vNqKX4TvnVrE9cflx/z/vr4+6uvr4zLazqewcDz/NTIycmRAHY5YqAEVVsSFg1eVSmVkYBiNximThifjktrb2+nv76e8vByDwRAJXo2OFJIkKWaVNJXM/GAjGAyye/dubDYblZWVcUX1zBaPfNjG795vRauU8cL1q2PK/aZCWHAyPoLJZDLxxKYuXmoKmVxfvH71hCTu2eLPn7Tz4Lv7Z+S34kXYDyYXQiKJ8b2BMiEkhnjvtmNQxdEI+9SmDn45A18W3noOP18ejydmVRl+XR0eP9/asJtP948CoFPKMGiVJCeoGHb6GLB7Z1QkCoSipcJDy+LysbnNglwm8PMLyji+KHle8vjx/WCl6Xq6LG6UchnZRk3M9qjH46Gmpga1Wk15eTkKhYJhh5e73tiLWiFg1Klo6B5lV78HAcjSwf+cXsRpFflzOrfu7m6e2dTKk/Ue5DKBv127isocY8z3jI6OsmPHjpiixckw30bdaP4rLy+Pzs7OIwPqcMNcB9T4egq32x0JXg1/oOdaTwFE4lrS09Nxu90xwaspKSmRwXU4QJIkmpub6e7uZuXKlZhMpgU9flCUuPFvdWxqHaUoVccL169GO26LJSw4mSyCKSUlJSaCKRAM8pU/b6a230d+soYNN66N+IvmAlGS+NpzO/moeYQCsy7Cb83neGE/2HT4/WUr+MKSmdWUkiTxjRfq2dg0TN6YHyxBrcDtdscIaFQqVYyAZqptW0mSuGXs/DINal67aQ2JYwPFHxTptbj5pHYPXaMu1KZMhlzBmO3EeJp69Wp5zKprvKgjNXHqhHpJkrhtw27+vWcwLj9YIBBg586deL1eKisrUanV/Oyf+2jsd5CfrMHlcrG9y8mAS0QtF/hOucipaycKDeJBd3c3XV1dvNCh4+1d/WQZNLx687oJ/q14jLYLUfkuiiJ79uyht7cXtVrN8ccff2RAHU6YzYCaLHg1PJCifUPjEY9ZdnzwatgcK4oiGRkZFBcXH1ST7EKgq6uLxsZGli5dGgnyXSgMOUJ81JDDh1IusDhFNxYpBIkyP5qgC73cT0GagcLsVNJSU6eNlBlyeLng4S2MuIOcscTIg5dVzuv8ovmy88rT+dn5s/dvRcPi8nPuw1sYdvqn/J6fnLuE9ZXxXSQtbj8XPRriy47P1fKV4iButxuj0RgZSlPdVE11vDBfdsbSNB5YH8u/SZIUqWaPDpqVJIlRlz8qFzE0tDpGXHy6fxR/ML7LlUImkGlQH0imj1IiZhk06NVyrnxiB12W+Pxg0V6/iooK9lsl/vRxO6NOD4qgF6dPpNUe6q86viCJy7JtFBTkU1hYOKvXOdyou7S8iose3UL7SMhf9scrVk44js/no6amBlEUqaqqmrBLshADCkKvSX19PT09PVRVVZGRkXFkQB0umG5AiaKIzWaLDCWn0xmpIjebzVP6hmZT4ud0OiN3sRaLBZ1OF7lgGI1GrFYrtbW1LFq0iKKios9cdTMThoaGqK+vJz8/P0I+LxS2tI5y7TO1M3qCous1MsdJqaPrNba1jfLVZ2oRJfjucWlc+4Vl8zq/aL7svvNKuWgOfFk0NreOcO0zdVP+/9duWjOj/N7j8UTeX9vbRvjNTgER+M4JmVx9XNG8Su7i4bc6OzvZt2/fjEGzEOsHu/n4PCpzDJEBFp2RGG+0lEGjwOYJIAHr8o18YUkqWcYDQ82gUUwYqi0tLbS1tWEwGNjT56B2CCxBFWnGBEoyjfz2/Tb8QYnvnJxHCd0kJyezfPnyuHczoivfG3ptXPrYtgj/ds0xeRO+fzqj7UINKAjJzPfu3YvP56O0tJSioqJ5HzMefO4G1E9/+lPefvttamtrUalUWCyWCd8z2UXv4Ycf5uabb571440fUOH9aFEUGRkZiWSEhVdJU91ZxLtKCgaDMdyIz+eL7PWPL6ULI6yYS0pKYtmyZQdFMbeQCJPPZrM5ppp9LhBFMYYbeWmvh393h9pVr1mbiSRTxPiB4uFAYIwDSVLj9gdpHnQhF+DaSgOnryoi26gladzFK148+lEbv93YikYR4svmy2/d8Nc6Ptk/EvNvMgGWmeCnZ+RMuIMPd36Fn6/xZuwXdo4cFL5sOn5rcHCQ+vp6Fi9ePGnQbDT+srmTn/+7edr8xIAoMhCjRjyQTB9O6ognWkqnkpOZpCYtQYFRJaLDSwJeMhKVJAg+lhfmULqkJHRDJEkEAgGer+7l5+/sRykXeOrL5fj69qFQKKisrIxr1RE9oAD+trWTH7/diFIu8Oy1qymfRPgSXo12dnbGGG0XekC1tLRQVlbG8PAwy5bN72YtXnzuBtSPfvQjjEYjXV1dPP7441MOqCeffJIzzjgj8m8Gg2FObZIDAwOsXr2aK6+8ktNOOw273Y5GoyEzMxOz2Rx3PUX0uUWvkmQyGU6nM7J1Nzo6ilqtjuFG4hk4Pp8vUj1ysBRzCwmPx0NtbS1KpZLy8vJZbRlMF8FkMJq4+fldbGmzUJKWwPPXrUITxUf5g7EXr6nqNWZCgko+YdUVXXI4Wb0GhPijm/5Wxyf7R1mcouPF61fPi98KiiLnPbwt4ltSywUuWZXNjevS2bOrDqPRSFFRUWSIh9Pso83F0c/9weTLovmt8bDZbNTU1JCamhpRzE0GSZL45ou7eK9xiByTNqYfLF5ER0v1WN38/v02mgacaJUyCsw6+mxeRlxTb52GIQPMOjl5KXqyjBoyEtWk6RW8tXuQ2i472UYNG25YRWtjA263m6qqmYsdxw8oSZK49cV6/tUwQLYxxEdN5Qcbb7Q9GAPqiEgiTjz11FN861vfmnJAvfrqq1xwwQVzOvbw8DD//ve/+fvf/87bb7+Nz+fj6KOP5qGHHmJgYIC0tLRJOajZrJLiUUTNFsFgkF27dmG32w+aYm4hEU0+V1RUTHkDES04iSeCadDh5aJHtzHs9HNJVSb3nlMa9zlF12uE7rY9tAw5eb2uD19QQikDfxxWoOh6jWgSP9OgQaeUc+uGXQw5fFywMoP/PX/u/i2I5bfOWZHOLy4ow2q10t/fT1dXF6IokpiYSGpqKikpKZE0+16rB6s7QL5ZGzPER10+Lnp0O/1274LxZfH4wdxuN7W1tTGKuUmPF8VvnbksLe5+sKnPzxc6ns3HmgwFXy7wotLqkLRGvAo9toCcPps3FO47llLeZ/MSiGMprpQLFKcmkKQIoJM8rCzOYXG6KSKvHx8tNX5AQcgPduEjW+gcdXNKaSq/v7x8yt93aGiI2tpa8vPz0el0dHR0HBlQnwVmGlDZ2dmRRODrrruOG2+8Ma6tpLa2NoqKiigvL+fMM8/k2GOP5ZxzzqGzs3NSkcRsglfnooiaLaLJ54OhmFtoiKJIY2MjAwMDVFZWRkol5xvB9On+EW74ax0ScP9FSzl7+fT8xkzYtH+E68eOd3OlnkylG+OiQiw+IWrryDPreg2A5ZmJrMo1RJH5oT8GbfzbiJuaB7nhuV2IElxVAkelE9l2HhgYwO12U1lZiU6no9vi4a439rC1zYJESBF38/H5fPXonMjjbW+38NW/hPIOF4Ivi85PnM4P5vf72blzJz6fj8rKyimFP9H81o/OLplVPxgwQXDUPBrg1ztDLcZ3nFrAVUfnT/vzQVFiyOGjfcjOlvomhtwigt5Mv91Pj8VD56g7rpW4Vik78JobtSQIPlR+O8dXLYuJltrVY+PyP4f4qDvPLOErR03tgbLb7VRXV6PVahFFkaOPPnpWz81kODKgZonpBtR9993HF7/4RbRaLe+++y533303d9xxB3fdddeMx5Ukib6+vojKbDwHVVtbi9lsJiMjI67g1fBF1uVyzVkRNRd0dnbS1NTEsmXLpuyNOlwQdsnv37+f1NRUXC5XTARTSkrKnCKYfrdxP4981I5OJWfDDavJN8+vCO7377fyxw/b0CplPHB6GpK1j5UrV04I1wyKEgN2bwz/Eb2lGC8HolXKY1Ze0duJmQY1WnxYRoYjEUwbB9S82hwI8VvXVVGcHuJnwmGgvb29LF1ezpefa6TX6iU4bgUwXsiw0HxZvH6wsLR5eHh42nT82fSDSZI0o+Do6S1dkfzEZ6+tirsfbCqv3yMftvK799uQywSuOSoHCYHW/lFaB6zYAgpG3DO/B2TCWLSUUYPXL7K7145cEHjhhjWsmKbPy+PxsGXLFvx+PyeeeOK8B8r/6QF1zz33cO+99077Pdu2bYtJC55uQI3HAw88wI9//GOsVuuszy08oNra2tDr9TQ0NKBUKikuLo5s2YX/hBVRYVWfXC6P2eufjyJqLgiTz9FxLYcTfD5fzCopvBLNyMigpKRk3jxaQBS59i+1bO+wsiRdz/PXVUWy3uaCoChx/V9r2dJmYUl6Ag+ckUlrcxNlZWWz8ryEOZDOETc/fHMvTQNOjFolq3INY4PNy7DTN+NxZEgka0NE/iJzAotMOt5tHGL/kItck5Znr60iOeHAc9jR0cELm5p5sjH0Poh+N0hARpKad289OvI+iebLClN1vHDd/Piy2fBb8aTjz9QPNlvBUbQfbLb9YJN5/aKPl2PU8MrNa0nShoRdO3bsICUtg6SMvKheMDfNPSN0DDtwSip6rJ4pZfU5Ji2v3rxu2nDarq4u9u7di0ajmXXQ7Hj8nx5Q4TfQdMjPz49Z7s9mQH3yySccd9xx9PX1zShljYYkSVx88cW88sortLa2YjAY8Hg87Ny5E4PBwNKlS2OCRGdTT3GoYLPZqK2tjYlr+awgSVJMBJPNZousksIRTGHZfGZmJiUlJfN+/vptXi760zZGXX4uX53F3WctmdfxBu2h4w07/Vy6KotvHpXCzp07yc3NnVO4Zogv286w08fFlZn8+NwQX+YNBOm1eGjps9DcO0zboI1eqxdbQM6oT8awW4yLAzFqlTHS6YauUWq6HYhR40kgNKAEYOvtx8dc5IedPi56dBuDB4Evi4ff6u3tpaGhgSVLlrBo0cSYo2h+65wV6dx9am5kKM1FcBTtB5tLP9h4r5/F7Wf9o9votXk5vSyFX1+yArlcjsvlorq6moSEhBi+LZqDEkWJIafvQEOvxU37sIt/NQxg9QQ4fWkav710xbRJEm1tbSQlJTEwMDCvoNn/0wNqLpjNgPr973/P9773vUgQ62zw+9//nm9+85v85je/4YYbbqCjoyNSdx4IBGIUZNOV0n2WmCyu5VBhLhFM46vZ58vPfdQ8zE3P7gTggfXLOHPZzEGb0+HTlhFu+FuIj3pg/VKOz0ugpqYGk8nE0qVLZ30TEM1v/ez8JRydqZgQwRR+vsJ3waIU4kCi+a8wid8y5KRz1DPr30shE7j5+DyyjdrIdmJaopraTmvED/az88s4f+X8toxn6wcLV7NnZ2dP8PoFg0E+bOjim6/tR5TgikKRs8tM8xIcRecnzqYfLIyw1y8vL4+CggJ2dtsifNldZxRy5dpc5HJ5xGgbDAZZtWoVarV6UpHEeOzssnLlE9vxByXuPnsJX1o7ea1NWMW3bt26WQfNjseRARUnOjo6GBkZ4Y033uD+++/no48+AqCoqAi9Xs+bb75JX18fRx99NFqtlo0bN/Kd73yHa665ht/+9rezfrxAIMCDDz7ID3/4Q7Kzs2lvb+e+++7j7LPPxmKx4PF44pKPftYYH9dysFInwsGr4QvsXCOYFjpo9sF3W/jzJx0kqOS8fOMacpPnvt0B8Nv39vPox+0kqORsuHE1GQlyampqUCgUrFy5Mu4PcDiC6cF3mnhupwW1TOKudSqW56ZGuJG5DOg/fNDKHz5oQ6OQ8f3TChEl6LV6aR9x8V7jUNwNvWEORAB6bV4UMoEbjsulPNswJuZQz6lG5JGP2vjdLPitaK/f4sWLIyrYsODowyENf6t3jB1vFcVp8/NvPf5JOw/Mww823uv31OauMb5M4K9Xr2RZdih/UxRF6uvrGR0dZfXq1Vit1hkHFMBTn7bzs3/tQykXePGGNSzNnMhHjZeZh4NmS0pKyMubaPqdDkcGVJy45pprePrppyf8+8aNGznppJP45z//yR133EFzczOiKLJ48WKuv/56vv71r8965fD973+fJ554AlEUOeqoo+jo6KC8vJw//vGPqFSqKeNaDleMj2sJK+bmi/GKqEAgEDEvp6SkzHkYhqvZrVbrvGXzAVHkmqdr2dFpZWmmnme/uiqSmD3X4331L7VUd1gpy9Dz7LVVKATYuXNnRDE31Z5/mBsJP2derxeD0cj9233U93sWnC8b7wfb3m7h1pd2MRrl9VmWkcAJxSn0232zrtdI0iiilGjqCZ4wc8LEXDxRCuUnfhoHvxW2GfT399PT04MoihiNxohsPiEhIaSufHYnH7eMLIi/bCH8YNFev+UrVvCtl/dG/GDPXl2OIUET8UM2NzfT3t5OTk4OVqt1xgElSRK3PFfHe41D5CVreeWmdejH8VGT+aDC/FdmZialpaVxb18eGVCHId544w1SUlJYu3YtCoWC3t5ezjnnHBITE/nb3/4WkXDPJq7ls0Y0+bxixQpSU1PndIyZFFELxXVFV7NPppibDXqtHtb/aTsWt58vrc3mzjNK5nVu0fzWlWuyuevMEiRJorGxkf7+fioqKiJ7/uODalUqFampqREpuFwuZ8Ae8m+NuPxctiqLH509T74sxg+Wxb3nHDieLyDyUcswo04feu8QOr91gmIuul6jx+qhecDBE5s68fhFDFoFkgQ2T2DG81DJZWRE1IgHVIkJKjk//nsToy4/F1Zk8NPzDvBbUwmOkpOT6evrw+l0Trhpiea3FoIvi/aDnbsinZ9fMHs/WPTORf6SZXzpL7vG+K1UfnpOMQqFAoVCgUwmo6uri927d6PT6Tj++ONnPLbF5efCR7bQY/Vw9vJ0Hrg4Nk9wKqNuNP+1cuXKuFboRwbU5wQOh4Mrr7ySffv28corr0SWyrOJazkc0NfXx+7duykpKYmrmn0uEUwLiXA1+3yDZj/YN8zXngvxUb+9ZDmnls1+QEcjmt/69cXLOH1paH+/ra2NlpYWkpOTcblcuN1uTCZT5PnS6XSTvkc+bh7mxoXky6L8YL+6aClnTeIHkySJ1tZW2tvbKS8vx2w2T3m8aL7slxcu5eQSc0yp4fhkjnijpQCyklQUGOUkCj70Mj+LTDqKspIpzUkjM8UYU28/ldcvmt/63/NLuWDl/Pxb0X6wn5xbyvrK2R8v2usnSy/mlpeaCEoSPzqrmAvL0yIXfJlMRmNjI21tbSxevDiubM2aTgtffqKagCjx43NLuWz1ASHJdEkSMwXNjseRAfU5QjAY5NZbb+Wll17ipZdeisjfw3EtaWlpLFmy5LCpu5gKYfI5Kytr0mr26AimkZERNBrNrCOYFhLDw8Ps3LkzQj7P9SbgV+8088SmThLVCl6+cTWLTPMbrg/+p4U/fxrit/54Xg5KnzViLg4EAhFFYrwf6l+/28JjY3zZhhtXk5c8P34zXj/YTIq5MB56v5WHP2yLy18Wipbyxog4DtTOh75640gon6xeQx1w4h3pZV15CcsWL4psI86lH2w6LIQfTJIk2tvb2b9/P/WBDB7d3I9aIeO5aytZnKyJXPTDQyV8AxhP0OyfP27j/neaUSlkvHTDmkjl/ExRR2H+y2KxTAiaHY8jA+pzBkmS+M1vfsMPf/hDHn/8cc4991wg/riWwwXR1exlZWUxMvCFimBaSNjtdmpra0lOTp5z0Kw/KHL10zXUdtlYkZXIM1+tiqvYbzzC3EjfwCC3/6uXFqtEgUHGr8/OITM9Fb1eH5H5p6enT1suF42DwZeF/WClGXqeu3ZqfmtkZIS6ujpyciYGzYYRFCWue6aWre2WWfFlk9kMEhMTUehN/OxjC3sGXKTqVZxSlspglNF5NI5cPIWMsYT60PCq7rDSZfGQZdDw+8uWU5CimzOnt5D5if39/dTv2s0zbQls63axOEXH89dWoZJJCILA4OAgvb29lJeXs2PHjriCZkVR4uZna8f8YDpevmkterUiriy+sH+rvb2dysrKKVfPRwbU5xSvvvoqV111FT/60Y/4+te/DhyIa/H7/VRUVBzWPU1ut5u+vj7a2toIBAKo1eoI+byQEUwLifkEzYbRY/Vw0aPbsHkCfGXdIv7n9OK4Hzt6VRmOYBI1Bm58uRWrJ8BV6xZxR9Tx3G43NTU1aLXaKcvlxqPP5uGiR0N8WZjfmg+i+bIrVmfzw7OmPl486fjx8mU+ny/CI423GaSkpETUmdF+sPH5iS5fcGzb0BOTTH+gXsNDPDVR5gRVpGJlMlHH+HqNaCykH8xisfDR1hp+USdjxC1yfnkGPz1vCYFAgL6+PgYGBli3bh2BQIC6ujpcLherVq2aVik84vRxwSNb6Ld5Obc8g/svWkZfX1/cYbFdXV3s2bOHpUuXTpozemRAfY6xdetWzj33XNavX88vfvEL5HJ53HEthxrhu/7xEUxms5nR0VGcTidVVVWHxWppOgQCAerr62dUzE2H9xqH+MYL9ejVclQKGYuM2glEfmaSGr3Mi8c2yvDwMHa7PcaMHR3B9H7TELc8Xw/A7y5dzimlB/gtv99PXV0dgUCAysrKuPx40XzZby5Zxmll8+OjpuLLJkM4HV8QBFauXDmpzP+TlhFujPjBQnyZJEkx5nWbzYZer488X0lJSVOueqP5rdnkJwZEka4hOx9u34UtKEdhSKfP7mNPr536Hntcx4Cxeo1xzbzR74f2YRfX/61uQfxgLpeLF96r5lc7Qn1Utx2TQqXRi8ViISMjg6VLl6JUKpEkiT179tDX10dVVdW0SuHt7Ra+8lQ1QVHivvPKOC5LNqs08+ig2fGr5yMD6nOO1tZWzjrrLAoLC3nyySdD0tcxxVxbWxsrVqyYNK7lUCDeCKaDXc2+0Igmn6MVc7PB63V9/HvPABubpq9P1yoEMhJVZCfrWGTSTriAhes17n+nmSc3dZKkCfFb2cYDg1MURRoaGhgdHaWysnLaPf8wovmyDTeuJme+fNmYH0yvlrPhhun9YOF0fIfDEQmaHY/fvLefP33cjk4p4+dfMKL0WAgGgzHm4tnsIDy0cT8PzzE/cTKvX3R+4s8vWIpMBj0Wb5SYI7QSm66ZOAy5IKBTybF7A8gFWF+ZxbKsxIicPtOgQauceXUcFhwNDAzw1LY+3u6QoZLD78/LpXJxRsTColAoInFqbW1t7Nu3j/Ly8mmVwo9+2MqD77agUcr444UFyO39s0ozDwfNjue/jgyo/wKMjo5y0UUXYbPZeOmllyIhrfGSzwuFmUrpZopgOpjV7AsNSZLo6OigpaVlzrL5UZePpq5h9vUM0dpvpcfmxRFUYA3IGXJJWOKQUofrNTKS1OwfcjHq8pNt1HDXGcXkJuvINKjRKOVIksT+/fsjnrrpFHOwcHxZGNH81rLMRP721app+a3JvH7RZuyBwSHu+9ROi01gsUnJY5eVkp6SPGeBUFCUuPaZWrbNkt8KY7zXL0GfGJOf+Ny1sf1gYXj8Qfps3kmTOWZTr2HSKSeswrMMGkxqCVXAid8+Ekm0SUlJwZSczP97uYn6QT+LzVpeunENWqWcQCCAKIoxCr/+/n527txJcXHxlEphUZS44W+1fNw8TJ5JzZ2rFZx43OzSzD0ezwT+68iA+i+Bz+fj+uuv5/333+eVV15h6dKlwPRxLQsBr9cbY5adrpQuHgwNDbFz507y8/PnpZg7VOjv72f37t0UFRWRmzt1FUEYs4lgcvuDE0oN51KvkaxTRnqAEuUBcA6zYvEili/OmrZeI5ovG89vzQW9Vg8X/WkbVneAL69dxA/OmPl47e3tNDc3YzQacTqdMRFMAZWeK5/etWB82Xz9YOO9fmiSIvmJ4/1g8SJcr9Fj9dDY7+BX/2nB5QuSkaQmUaOgx+LB6Zs5nVwtF8hIUpNt0pI9lkyvV8t5aON+7D6Rs0pN/OrSitBjBoMEg0EEQUClUiGTySJG24yMDMrKJvdlDTt8nP/IZgbtPo7LVvD4jSfN+vcdz3/Z7fYjA+q/BZIkcc899/Db3/6Wv/3tb5x88snAwlazTxe8Gl1KNx8sZDX7oYDFYpkyaHahIpgmQ7heI0zi91g9tA27GHb6Fqxeo33ExQ/fbAQm8ltzwQdNQ3xtCr4MDkQwjTcX+3w+MjMzWbJkSYxC9cN9w9z8XHz8VjxYCD9YtNev05cQyU+cyg82G4z3g52zIp2BUTsNHf209IzQPmzH5pfjkNRYfAKDriCDjpkT6gES1TKK0xLJNIRW5BmJSjKTNOSm6Flk0iEEfVRXV6PT6Vi5cuWkSuGtbaNc/VQ1ogQ/v3ApF1bMLk8QiOG/8vPz6evrOzKg/pvw9NNPc8stt/Dggw9y1VVXAfGRz1MhrIgKr5IkSYpZJR2Mmvdw0KxKpZqzYu5QIhw0m5CQQFlZWUQQEo5gijYXHyp1ZbheI6I+sxxQonWPuugccWKL49oVTh1XygVOKU0lxzRR1DEb+fN4viwjUTUhgmm8uXg6r98D/2nh8U9D/NbLN66ZN1+2EH6w8E1LVlYWf++S86ePOxasH+x377XwyMcdaBQCd61RkCR4pu188wVEem2Tr8R7bV66Rt1xmZoNWgWZSRp0eEhWQ3nRInJTEsk2aCLRUoIg8Iu36nhi2yBapYwNN66laA75hGH/VlNTE2q1mhNPPPHIgPpvwnvvvcf69eu5+eabueuuuxAEIe5q9vkoohYS8Vazf9YIRzD19/fT0dFBIBBAq9VGZPMmk+mwXAV6vV62Vdcw6hMwZi1mwBmYQOL3WuPjQMbXa0QPsPEV4/6gyJefqKa+10GhUc43yvzoNBMjmMZjKq+fPyhyzdM11HTZWJ6VyF+vmZ7fmgkL5QcL71zoEvQ8WBtkR6dtRj/YVIgWHA0ODfPQLoF9Vig0q3nu2lXotbNrS4iGPxjKd9zRaSVZDacV6pDpjFF9UR7s3plX4iqFbIz3gtZhNxavxCKTlrduOQrtHP1bjY2NtLa2UlpayuLFi48MqP8mNDQ0cNZZZ3HMMcfwhz/8AbVaPWXQrN/vj4kUEkUxxiz7WXmqwuTz4OBgTDX7Z42pIpjMZjPDw8MRBVo8irnPEsFgkPr6+kjG3HjFXLhe48Aq7ACJH7oL92L3zizm0ChkpOmVmNSQJPejkAJ8OiDDG4Tzl6dy73llqOK4aE9Vzb7QfNlC+cHCOxejHpEfb/Ez6g7M6AeDmQVHLknJ+j9tPyj5iScuknP9yoTIzoUoilhdodV3vyNAn91Hn9VLY/cQncNOHKKSIZefqa7o6yuz+N8Lls7pvPr7JtAiBwAAN11JREFU+2lqasLv95OVlcXKlSvn8VvGjyMD6hChr6+Pc889F61Wy3PPPReRcHd0dNDU1ER6ejpeb8gHEeZGzGbzggavzhfRcS1zVcwtBOKNYFrIoNlDgehq9rmk49ujtxGjRB1dIy56rG5GXEFm+rALQHqSOkY6HcOJGTSReo2pvH4bG4f4+gtT81uzxUL5wcLV7J+2WvhdXWglMhlfNlvB0WR+sPkgOj/x61U6KpODEa9fuHVaFEXkcnkkaLa7u5uGhgaKSkpRJKXQY3HT0N5PU9cgQyTy0b7hEF920TLOn0M+YVjFV1FRgdVqJT8/f16/Y7w4MqAOIZxOJ1/60pfYvXs3N954I5s2beKEE06gsLAQURRJTU1lyZIlh+0WWhj9/f3s2rUr7qDZ+SIYDEb6f8IRTPEEr4YRDpqdbTX7Z4WOjg6am5vnnI4fNmOHL7Lhu36DyYyoTsISkNFr9cYkM7QMOhl1+fHHsY0YXa+RaVCjCbrANcraZYWU5aVjTlBx/zstPL15cj/YXBDmt+brBwt7/f7wURf/7gpl/L10/WqMCv+8BEdhP9jByE/8xRdMKNwjMV6/sAw9WuE3PDxMTU0NeXl5FBUVxSRJPLSxhd+/3xri325cS+Es8wmPyMz/y9HU1MTbb7/N22+/zcaNGzGZTBx//PHceuutrF69GofDcdhUs8eD6RRzCwG32x25YIRL6aJXSbPNOAwHzc61mv1QY2BggF27dsWdju/1emOer3AEUziyKp4LiihJjDj9USuwKFHHGJkfT72GckxKPeL04/QFSU9U8fWTClhk1JJpCPFjs+WSovmthfCDtexv5dbXW9lvF8jVw7dXQkbqxAimeBHdD7bQ+YlL0hP45ampdLa1snz58kgjriiKBAKBGK+Uw+Fg+/btkRu4zs5OjjrqKIKixFf/soMtraOUpOt56YY1k/rBpsKRAfVfjssuuwy73c6ZZ57JmWeeydtvv82dd97JY489xvnnnw98ttXsc8FCVrNPFcE0lSJqLnA4HPOqZj/UsFqt1NbWTqqYkyQphhtxOBwxd/3REUwLCac3MGW9Rteoi0GHf8ZtRIBUvSoqnVwdu5VoVJOkmXgBnGt+IkwuOHKh5sdb/bgCAl9ak8WdZ86PPzqY+YmXr87iplXGCV6/8JASBAGlUolcLsfr9bJjxw4CgQByuZxjjjkGCPnLLnh4C8NOH5etyubH58WfJ3hkQP2XQ5KkCReM119/nS9/+cvceeedfPOb30QQhENWzb5QCFezi6JIZWXlrO48p4tgiveuf7bwer1zqmb/rBAdNLtkyZLIUBoeDkUzRZuLD4bNYLaw2uxs3FKLR65Dk5xJl8Ub4xHrtXrwBGZu6Z2sXiPLoKHX6uGBd/cD8NBly/nikqn5rfGCo8kimP5R18l3Xm8G4DcXL+O0efq3ov1gC5GfON4PdswiNTU1NTE7F5MNqWAwyJYtW3A4HBx33HER0c0nLcNc90wNkgQPXrycs1fElyd4ZEAdBDz88MM8/PDDtLW1AbBs2TLuvvtuzjzzzM/2xKKwbds2zj33XC644AJ++ctfolAoYuJaDqeg2akQJp9tNtu0svn5RjAtFBYiaPZQIGzGHhgYoLOzk2AwiF6vj8jmDQbDYblVGVbMAVRUVMQMTkmSGHX5Jwg5orcTLe6Zc/EAlDKBikVJZJu0ZCaFVmEmlYQ66ETmseKyW+Nqev7ZP/byzLZedAp46YbVFKTO7/N2MP1gL9+4hhSNFPH6rVixIhJOHQyGhB9yuRy5XE5fXx+NjY1IkhQTNPvrd5t5ZKzP69Wb18XlBzsyoA4C3nzzTeRyOUVFRUDIOHv//fdTU1PDsmXLPuOzO4C2tjbOOuss8vPzeeqpp9Dr9TFxLeXl5Z9Z0Gy8mEoxt9ARTAt5vpNVs3/WiI5gGh4eRhTFiCdpZCSU4/Z5uWmJx+s3GcL1GpMOMKuHfquXmddgoWip7DEl4nT1Gv6gyFVP7WBnt538JIHnr19Dkn7uaf6Hwg8mSEHq6uoIBoNUVFSgVqsjQ0qSJORyOUNDQ3R0dJCZmUlTUxMrVqwgIyODQFDk6qd3sL3dQlmGnheuX4N6Bj7qyIA6REhOTub+++/nuuuu+6xPJQYWi4X169czMjLChg0bIiGtfX19NDQ0UFJSckiCZueLzs5OGhsbSUlJwev1HpQIpoVCdNBsNPl8qM8h3gim2VSzHw6Yyus332PaHE6aOvrZ1zNE+5ADu6jEhRqrX86QK0iPNb5oqeh6jSSNgv/sHcIbEFmVCneft4LFmWbksrm9Vw+mH+xLa7O584wSRFFk9+7dkZuWsNcvrPAbHBykp6eHo446ioGBAerq6igqKiI/P58Bu5fzH97CqMvPlWsW8aOo/q3JcGRAHWQEg0Feeuklrr76ampqaiIhrocTfD4fN954I++++y4vv/wyy5cvBw5+0Ox8MT6CKezTSE1NpbS0NK7uo88SYcVcvEGz80UgEIjhRmYbwRROxy8tLZ20XO5wQ2dnJ/v27WPp0qWRhP/ZIGzGni6CKRqSJGF1BybdRpxdvQakJ00i4jDEV69xKPxgk+1ciKLI8PAwXV1d+Hw+jjrqKGQyGVarlerqajIyMigtLeXjlhFu+GstAL+9dAVnLJva0nBkQB0k1NfXc/TRR+PxeNDr9Tz77LOcddZZn/VpTQlJkvjJT37Cgw8+yDPPPMMXv/hFYGGDZhfiHGeKYAqf7+claDasmJtNNXu8CEcwhZ8vi8WCTqeLEPZziWCKp5r9cMLg4CD19fUUFBSQn58/4/lOFlQbLaCZ7/t/qnqN5gEnFrefXpuHYBz7iCadctqSwz9/0s5Tm7sWzA82VT9YW1sbzc3N6PV6XC4Xcrkcs9lMeno6RqMx4pVyu91UV1ej1WpZuXIlv93Yxp8+bkOvDvFRuVP4t44MqIMEn89HR0cHFouFl19+mT//+c988MEHh+UKKhrPPPMMN998M7/61a+4+uqrgenJ54ONeBRR47EQ1eyHEnOpZp8KU0UwhS+yCyHMOJxuWuKBzWab0usnimKMGdvtdkdWSWazeUFsBrNBUJTY3zPIRzt2I2pNSFpTaKBFRU3FW6+BIOANiKToVVyxKossozayCktLVKOchZ8ruh+sLE3HT04yYR0dxul0otPpcLvdZGZmRp7fsMIPQKVSIZfL8fv91NTUEAgEKK+o5IbndrGjw8qyrESev27NpHzZkQF1iHDKKadQWFjIo48++lmfyox4//33ufDCC7nxxhu5++67I0Gz8Sjm5ovJuJF4FFHj8XlRzIUxl2r2MMbf9YdL6cZHMC0k5pOO/1kg2utXUlIS8b6NjIygUChiVkmHgw9wOq+fzeMPbR9aoo3NB7YT46nXkAmQlqiOrLoyx63EsgzqSLRUWHC0t6Of779nwRWAs4q0fPcL+RHB0WRev2gZukKhiCiFd+/ezfDwMNnFy/nyM7uxuP1ctS6Hu86a6Ac7MqAOEb74xS+Sk5PDU0899VmfSlzYs2cPZ511FuvWrePhhx+OBM0ejGr28dyI3+9fkLv+hahmP5SIt5o9OoJpeHgYt9sdCaqNJ4JpoRBPNfvhgLAZe3BwkO7uboLBIElJSaSlpR1Sm8FsEe31Cyvm4vq5gBhZdXVb3KF4qajtxF6rB39w5suvXiUjWS2RpAiSkagiN0WPV1Dxt+oBAB66dDlfjOK3JvP6RSv8wlXygiDQ0tJCW1sbLkMB33urFYDfX17OqeP8W0cG1EHAD37wA84880xycnKw2+08//zz/PznP+ef//wnp5566md9enGjv7+f8847D6VSyXPPPRdRb3V1ddHU1ERZWdmcqtknK6XTarUxq6SFuuuPDpr9rBRzs8FU1ewLHcG0kOc7n6DZg4WpIpiSk5MZHh5mZGTkcyObb2homKCYmw9ESWJ4rKU3vPLqHnHRPmSnx+pmwBnEPXOyFAKQm6yNWXWlJ6pwD3eTKPg5+agKkvQJUwbN9vT0sHv3bj60mXlx5whJGgWv3ryORVH+rSMD6iDguuuu491336W3txeDwUB5eTm3337752o4heFyufjyl7/Mrl27eOWVV1i8eDEQqmavr68nPz8/LvJ5toqohcZsq9k/a3R1dbF3716Sk5PxeDwHJYJpIRFWzM01aHa+GB/BZLfbY8zY0RFM46vZP6t0/HhxMNLxZxIcydQ6+u2+sW1Eb0y8VLfFw0Ac24gCYE5Qkm3UkmXUkJGoIj1RRZZBQ16KnmyTDr/LxvbqHfx+r4rGIR/l2Un87drVET7qyIA6ghkRDAb57ne/y1//+ldefPFF1q1bB8xczX6wFVGzxcEOmp0vxkcwyWQyAoEAqampLF269LAXe4QVc/EGzc4X420GMLsIpuhq9kORjj9fhNPxly5dOqedi7kIjqaCLyjSP7ZdGGnqHVd06Y0jWipRoyBdr0IRcNFsg4AIl6/O5t5zQ3l9RwbUEcSNhx56iDvuuINHH32UCy+8EIitZl++fHmMwCGsiAp/CA6Hu/7oavZwXMtnhXgimMKKuc9L0Ox01ezzRTiCKTyQrFYriYmJMebi2b6/oqvZi4uLP/P350yYTTp+tOBoeHg4YjOYreBoLpAkiRGXn92tvWxraEGmN+OR60I82NgQs0yxj3jrSfnccnIohefIgDqCWeHNN9/kyiuv5I477uDWW2+lubkZt9vNyMgIfr8flUoVyWw7XBRR4+H3+6mtrZ01+bwQ8Pl8kYEUbwST1+ultrYWmUxGRUXFYb+SmqqafS6YKoIp/HwtxGsXvglITEycdzr+oYDdbqe2tnbSm5aDJTiaDybz+omiiM3lpd/uY8AZoN/uo2vUTW1LD9csgaPWriYhIeHIgDqC2cHv9/Pkk0/y7W9/G6PRSG9vL3fffTfr16/HbrczOjpKVVXVYVPNPhWmimtZaETf9Ye5kei7/ngjmGaqZj/cMFU1+0yYTQTTQuKz9PrNBWGvn0KhoKioKLISP5iCo/lgMq/fZEGzgiDQ2NhId3c3VVVV+Hy+IwPqCOLDHXfcwR//+Ee0Wi0nnHAC+/btIyMjg6effjoSNHs4VLPHi4NVzR7mRsJ3/pIkRe7651JKF32+YcVcZWXl50I2P1k1+3jMN4JpoXCovH7zRVhwNDg4SG9vL6IoYjKZIrL5w/XmZTKv3/ig2bDCr729naamJnJychgZGTkyoI5gZmzcuJGkpCQqKysjGVvr169naGiIDRs2RGrNw4q54uLizxX5PNdq9ngimBbyrn++1eyHEmHFXFtbGytWrCAlJeWgRDAt5PkeDK/ffDGV4MhsNjM4OMjQ0NDn2usXDpqNbukdGBiIJMKcdNJJyOXyIwPqCGYHv9/PjTfeyDvvvMPLL7/MihUrgP9u8hkWVhE1F4SDZgsLC8nNzT3sn9/u7m727NmDwWDA4/EclAimhURXVxeNjY1zVszNF7OJYDoc0vFng6m8fsFgkGAwiCAIkQy/1tZWmpqaWLRoEcuWLTtkfPGRARUn/n97dx4WVb3/Afw9DCiLiDC4UAgqLimYLJqyqSjKDHPdMm5mmVvWdcsl08p+apa5oFfvlYtLmpRpLghaWjKoLAoaomyKG2KggOyL7Mzy+8PnnGbYGpgzc87A9/U8PU939MK3Eedzzvl+vu/P1q1bERYWhvv378PExAQeHh7Yvn07hgzRbEw0kxQKBbZs2YLAwED8+OOP9HkvJkez60Jro9lbuurXRUdUS1obzc4FVVVV9GPO0tJSGBkZoaGhAdbW1nB0dORkA40y6qyfvb09+vfvr/WLgJqaGvr9ak8Ek76d9cvNzcW9e/dUnlwoxyN16dIFhYWFePToEQCgW7du9BEXbSMFSk1CoRCzZs3CqFGjIJVKsX79eqSlpSE9PZ1zz8iPHz+ORYsWYceOHZg/fz6Av+JaFAqFXmw+K8e1ODo60o/uiouLOXnVr7z5PHz4cFY/9JUjmIqKilBbW9vkMDZ10aIvQbN/d9ZPE1QEE1WUmJj0zPWzfo01l46vHDRbVlaGJ0+eYNSoUaiqqtLZI21SoNqpsLAQvXr1QkxMDMaOHcv2cpqIjY3F9OnTsXDhQmzcuBEGBgZ6s/lMRTAVFBQgKysLDQ0NMDExodvmudIR1RjVMdfQ0ABnZ2edNRUA7Ytg0teg2S5dumicjt9SBJNAIGBs0jOXzvqpg3py0aNHDzg6OqoEzRYWFuLp06fw9PQkTRL6ICMjA4MGDUJaWho9WJBrHjx4AH9/f7i6uuLAgQMwNjZW6ZhzdnbmzOZz46t+KoJJIBCgoqICJSUlerf57OzsrLWMOeqqn3q/2hvBpMlodjZIpVKkpqairq4Ozs7Oat89tyWCiUlsnvVrD+qsH4/Hw8CBA+mfsfLycvTu3RtOTk4wMjIie1BcplAoMG3aNJSWluLq1atsL6dVBQUFmDp1KgwMDHDixAlYW1sDYH/zGVA/gkkfN5+1MZq9cQQTn89Xeb/ae1WrjdHs2qScju/i4tLiWT9NI5iYXK8uzvppimo4KiwsRH5+PuRyOaysrNCnTx/650sqleLhw4dwdXXVyftHClQ7LF26FBcuXMC1a9dga2vL9nL+Vk1NDebMmYOUlBSEhYXBwcEBwF8dc7rafNZ0KJ1yx5y9vb1W18oEavO5vaPZ1YlgYvLP7OnTp3j48CEcHR3bNZpdl5o766eNCCYm16uNs36arqmlhiOBQIDMzEwsXLgQW7duhVQqRUREBCIjI1FeXo4//vgDjo6OWl8jKVBttHz5cpw9exaxsbHo378/28tRm1wux9q1axESEoJTp05hzJgxALS7+Qz8ddXP1FA6bY5m14a2jmanhtK1JYKJSW0dzc42qm3e3NwctbW1WolgYpKmZ/00pXwYu6WGI+oOVSKRICIiAnFxcbC2tkZAQADEYjHGjh2rs8YkUqDUpFAosHz5coSHhyM6OhqDBg1ie0nt8r///Q/r1q3Dvn37MHPmTADMjmbXRkdUY0yOZteF5jafKY0jmCoqKtC9e/c2RzAxqbXR7GxrLoLJ2NgYdXV1sLa21otjFG0966cJdWa+GRgYoLq6GjExMfRdUn5+PsaOHQuRSISuXbti7dq12LRpE1avXq3Tn0dSoNS0ZMkSHD9+HOfOnVM5+2RhYcGJNue2uHDhAt555x2sXbsWq1atAo/H02g0uy46ohrTZDQ7G5SDZocNG4aKigrGI5iYpDyaXdOgWU1JpVKVu8rmIpg60lk/TbXUcKR8zIB65BgREQGJRIKrV6/CxsYGQqEQ/v7+mDBhgkrDTGJiIj7//HOcO3dOpxFOpECpqaWrhiNHjmDevHm6XQwDkpKSIBaLIRKJsHv3bhgaGqq9+dy4I6qyslLlql9bHVGNqTuanW1UBFNBQQGePXuGhoYGmJmZ0ZltTEcwMUW5Y64tQbOaam8Ekz6f9aNGs7dXa8cMqIajmpoaXLt2DRKJBBKJBFlZWfDy8oJIJIJYLObc3TJAClSn9vTpU4jFYvTp0wdHjx6Fubl5i0GzXOmIaqyluBa2tRTBJBAIUF5ejsLCQr3pmLt//z6Kioq0OpqdCl6l3i/lvRGBQKD2Vbu+nPWjyGQypKamtvnJhXLDUXFxMaqrq5s0HAFAVlYWXZBiYmJgaWkJoVAIkUiESZMm6exisr1IgerkKioq8NZbbyE/Px+hoaF0txk15dTS0hJSqZRTHVHNaS6uRZfaGsHE9mj2tlAezf7666/TRxU01TiCqWvXriqHi9v7mI6LHXOtUSgUePDgAfLz81s966dOw1F9fT2uX7+OixcvIjIyEo8ePYK7uzv96O7111/n3F1Sa0iBItDQ0IDFixfjwoULWLRoEW7dugUPDw+MGDGCHiHg6Oio02SE9mhrx5ym1OmIao2uR7Nr6vnz50hPT293Or46EUxMvgdcOOvXFllZWSpn/dQ5ZgC8vDiLjIxEREQEoqKiYGpqCj8/P4hEIkyePBmWlpac/9lqCSlQndzdu3fxyy+/4LfffkN8fDysrKzg7e2NFStWwM3Njd4s1+e4Fqao0xHV1vdHm6PZtaG0tBQpKSlqp+M3tzdCPRrWxaRnXZ/10xTVNm9mZoba2lq64Uj5MHZDQwMSEhLoNvD09HSMHDmSvktyc3Pj/N9TdZEC1cktXboUOTk58Pf3h0gkQlxcHBYuXIht27Zh4cKFAPQ3roWJ0ezqdERpimqbNzY2Zr1jTh2tjWZnKoKJSdRodisrK62c9dNEcw1HpqamqK2txbNnz/DOO+/A0NAQBQUFiIyMhEQiweXLl8Hn8zF58mSIRCL4+fmhZ8+enC++7UEKFNHE1atXMX36dMydOxebN2+mQyP1Ia6FoslodnUjmJjEZtBseyiPZh86dCjKy8sZj2BiEpNn/TSlTsNRQUEBxo4dS3cspqamwtnZmb5LGj16NOcvZJhAChQLYmNjERgYiFu3biEvLw/h4eGYPn0628tS8fDhQ/j7+2PEiBE4ePAgTExM9HLzWZ3R7JpGMDFF3dHsbKP2RgoLC5GTkwOpVApzc3O6bZ6rnWGanPXTROMIpsaTnqmfy5KSEly6dAkSiQSXLl0Cn8+HgYEBunTpgvDwcDg7O3PyfdUmUqBY8PvvvyMuLg6urq6YOXMmJwsU8HITf9q0aVAoFDh58iTdvcV2XEtbNTeanekIJqYoB81So9m5oKUIJqpt/vnz55wazd4S5bN+2kzHb2hoUHm/motgksvlSE1NpQ/L3rx5E8OGDaPvkjw9PaFQKPDBBx8gJiYGaWlpLZ5N7KhIgWIZj8fjbIECXu6PzJ07F7dv30ZYWBgGDhwIQLdxLUzIz8/HnTt3YGFhgfr6elRXV2s1eFVTeXl5SE9Px5AhQ1gJJG5rBJM+dcy1dNZP06/ZOILJzMysybGM8vJyXLlyBRKJBJGRkaisrMSECRMgEokgEolgZ2fX5OdQoVAgJiYG48eP13id+oYUKJZxvUABL686P/vsMxw+fBgnT56Eh4cHAO3GtTChcQQTj8eDTCZDjx494OTkxPlmj9LSUiQnJ8PW1hYDBw7UegGl9kaai2BSJ3i1qKgIqampehM0q+loduVjBkVFRc1GMFGPbam7pOvXr2PgwIHw8/ODWCyGt7c35/cb2UQKFMv0oUBR9u/fj08++QTBwcEICAgAwGxci6bUiWCi2ua5MJpdHVTHnDZGs1MRTMp3SdTeiEAggIWFRZsvOrSdjs+0toxmVz6MXVxcjNLS0iYRTDweD1VVVYiOjqaDV4uKijB+/HiIRCL4+/vrxRMHriAFimX6VKCAl/tnb7/9Nj755BOsWbNG46BZTbUngklfO+aYGM3eUgQT9X4x8V4wOZpdF1obza5OBJNcLsejR4/ou6S4uDjY2trSe0k+Pj46DVjtSEiBYpm+FSgASElJgVgsxqRJk7Bnzx4YGRmpHdeiKaaG0ulqNDtT2juava0RTExp72h2tiif9RsyZAj9M9ZSBFN1dTWuXr1KF6Xc3FyV4FV9mFWmD0iBYpk+Fijg5aa4WCxGr169cPToUXTv3l1ro9nV6YhqD22NZtcWdUezN94baWhoaFMEE1OooNnCwsJW0/HZJpPJUFZWhsLCQuTm5kImk8HCwgK9e/dWOYz95MkTOng1NjYW1tbWdHPDxIkTOddo0xGQAsWCyspKZGRkAABcXFzw73//Gz4+PrCysmrXZi1bKioqEBAQgNzcXJw5c4buNqNGs7d381mdjigmr/o1Hc2ua41Hs2sjgokp2uiYY0JrEUyFhYVYsGABPv/8c3Tv3p2+S8rMzISHhwd9l8R0lBbRFClQLIiOjoaPj0+T1+fOnYuQkBDdL0gDDQ0NWLp0Kc6fP4/Q0FA4OzsDaPtodnU6orRJ10GzmqLa5s3NzVFfX68SwaQ8boErqI659gbNakqdCCbg5ZMBiUSC8+fP48qVKzAzM8OMGTPo4FWupfh3dKRAERpTKBTYsWMHtmzZgpCQEAiFQgB/ZcyZmpo22XxWpyNK11en2gyaZULjuyRDQ0NIpVJYWlpi+PDhnG9GaEvHHBNqa2tVHg03F8HU0NCAGzdu0B139+7dw+jRoyESiWBpaYn169dj5cqV2LhxIylMLCAFimDMqVOnsGDBAmzZsgWLFi0C8NdodplMhuHDh6ts2Ld3KJ02KQfNatoxp6mWIpioIm5mZka3+XNhNLs6tDmaXS6Xqxwubu6YAfBybIjyeAojIyN6PIWfnx8EAgFdjO7cuYOPPvoI586d40yqR2dCChTBqLi4OEybNg3vvfcevvnmG6Snp6O2thbV1dWoq6tD165d6cw2TYbSaRPVMVdZWdnmoFlNtSeCia3R7O3F5Gj2+vp6+v1SjmCiLnqMjIwglUqRmJhI7yWlpqbCzc0Nfn5+8Pf3xxtvvNHqz6FCoSB3TywhBYpgVG1tLX7++WesWrUKXbt2RUlJCdatW4d3330X1dXVyMvLg7Ozs14FzWpzNDu1N0I9impuKJ26bfO6GM3OlPaOZlcnggl4mWoRGRmJyMhIXLp0CQqFApMmTYJIJIJQKETv3r1J0WHAvn37sG/fPvz5558AAEdHR2zYsAEikYiRr08KFMGYDRs2YNeuXRAIBJgwYQLu378PHo+Hn3/+mW45Z3s0e1tpYzR74wgmAwMDlbb59u4laWs0u7aom46vfMygpQgmmUyG5ORk+i7p1q1bGD58OH1Y1t3dnfN7dPro119/BZ/PpzM6f/jhBwQGBiIpKQmOjo4af31SoAjG3Lx5E6amphg2bBh4PB5qa2sxf/58/PHHHwgLC8PgwYMB6F/QrKaj2RtHML148QIWFhb0h2zj4FVNPX/+HHfv3sXgwYNZ6Zhrq8ZBs61FMCm/X2VlZbh8+TIdvFpbW6sSvGpra8v5n62OyMrKCoGBgfTAU02QAkVolVwux/r163HgwAGcOHECXl5eALgfNNtYW0eztyeCiUltHc3OtoKCAqSlpdGNH81FMMnlcty5c4c+LPvHH39g8ODBEAqFEIvF8PT05HwAcEcmk8lw+vRpzJ07F0lJSRg2bJjGX5MUqA4iODgYgYGByMvLg6OjI/bs2QNvb2+2l0U7ePAgVq1ahaCgILz99tsA/uqY4/P5rAfNqqO10exMRTAxSZtBs5pqLoLJ2NgY9fX1KCwsxJQpU2BiYoIXL14gKiqKbgMvKyuDj48PHbyqD6npHV1aWhrc3d1RW1uLbt264fjx4/D392fka5MC1QGcPHkSc+bMQXBwMDw9PXHgwAEcOnQI6enpnEqmiIiIwD//+U+sXLkSa9eupcdfpKWlobq6WudBs+2hHDTr6OiocpZLLperHC7mwtW88mh2TTvmNKV8GLu4uFjlmAEVwVRZWQlvb28YGhrC0tISCQkJ6NevH72XNG7cOM7/jHQ29fX1yM7ORllZGc6cOYNDhw4hJiaG3EERL40ePRqurq7Yt28f/drQoUMxffp0bN26lcWVNZWamgqxWIwJEybgv//9r06DZjVFRTAVFhbi6dOnqK+vh6mpKd02z3QEE1Pa2zGnKXUjmKqqqhATE0PfJZWWlsLc3BxSqRQ///wzxo8fT+6S9Iivry8cHBxw4MABjb8WKVB6jvqQPH36NGbMmEG/vmLFCiQnJyMmJobF1TUvJycH//jHP2BlZYWffvqJLkjUaHYmg2Y11VIEk0AgQE1NDXJycjg1mr0lCoUCGRkZyMnJ0epodplMpnK4uLkIJqp7j+q4u3r1Kvr06UPfJU2YMAHGxsZYsWIFwsLCkJiYqBcZicRLEydORN++fRmJbeP2sXPib1EzfRq3QPfu3RvPnz9naVWte/XVVxEbG4tZs2bB19cXYWFh6Nu3L+zs7GBsbIw7d+7AwcGh2fHX2tZcBBN11e/o6Ngkgsnc3BwpKSmsjWZXF4/Hw6BBg2BiYoLbt28zOpq9ueBVa2trDBkyBFZWVuDz+aipqcG1a9foBoesrCx4eXlBKBRiz549zQ43DAoKwpQpU/TiOEJn9cUXX0AkEqFv37548eIFTpw4gejoaFy8eJGRr08KVAfR+IOc66ffzc3Nce7cOSxbtgzjx49HaGgoXFxc0KtXL7i5uSE5ORk1NTU6mavT0lC6Xr16YejQoa0mSdjY2MDY2Jhery5Gs2vC1tYWxsbGSE1NRW1tbbuaDJQjmIqLi1FdXU1HMA0aNIh+hJidnY3w8HBIJBLExMTA0tISQqEQ27Ztg6+v79+21/N4PDrXkeCm/Px8zJkzB3l5ebCwsMDrr7+OixcvYtKkSYx8ffKIT8/p4yM+ZQqFAjt37sTmzZtx5MgRuvuH6pjT1mj2xnsjzQ2lawsud8w1p62j2dWJYKqvr8f169dx8eJFREZG4uHDh3B3d6fPJY0YMYKTe3T6auvWrQgLC8P9+/dhYmICDw8PbN++HUOGDGF7aYwhBaoDGD16NNzc3BAcHEy/NmzYMEybNo1zTRItCQ0Nxbx58/D111/jo48+AvBX0KxUKoWLi4tGXXHKeyPFxcV08Cr1IWtqaqrxnQ+To9l1obXR7HK5XOVwcXMRTMDLZBAqeDU6OhrGxsYQCoX0eApLS0tO31HqM6FQiFmzZmHUqFGQSqVYv3490tLSkJ6ezrlxK+1FClQHQLWZ79+/H+7u7jh48CC+++473L17F/b29mwvT23Xr1/H1KlTMWvWLHz77bfg8/kqo9ldXFzoD0Z1NN4bMTIy+tvgVU21dzQ7W5SDZocNG6ay/9ZcBFNDQwMSEhIgkUgQERGBu3fvYtSoUXSDg5ubG+fvHjuqwsJC9OrVCzExMRg7dizby2EEKVAdRHBwMHbs2IG8vDw4OTlh9+7devlD+vjxY/j7++O1117D4cOHYWpqCoVCgczMTGRnZ7c6ml2doXS6uJpXdzQ726gIpsLCQuTk5KChoQFmZmb0qHMqeLWgoACRkZGQSCS4fPkyDAwMMHnyZHo8Ra9evchdEgdkZGRg0KBBSEtLg5OTE9vLYQQpUATnFBcXY8aMGaipqcGpU6foDsXmRrNTeyPFxcUtDqVjS+PR7FzQUgSTQCBAdXU1PvzwQyxatAgODg70uaSkpCQ4OzvTj+7GjBnD+blTnY1CocC0adNQWlqKq1evsr0cxpACxRKZTEYehbSirq4O8+fPR3x8PMLCwvDaa68BeFm8UlJS0K1bN8hkMlRVVTUZSselq3kqaLZ///6sxPL8XfAqdQatpKQEly5dQnh4OCIiImBgYACxWEw3ONjY2HDqfSVULV26FBcuXMC1a9c4fdyhrUiB0jG5XA4DAwPEx8dDIpFg06ZNbC+Js+RyOf7v//4PQUFBWLhwIdLS0uDm5gZvb2/I5XKYm5tjxIgRnIgUag0VNNuzZ0+89tprWu9kUx5P0VIEk1wuR2pqKn1Y9ubNmxg6dCiEQiHs7Ozw1VdfYf78+di+fTvpvOO45cuX4+zZs4iNjUX//v3ZXg6jSIFiybZt27Bz504UFBSQD4BmpKSkIDw8HL/99hsSExNhbW0Nb29vrFixAm5ubnTHnIGBAZydnTkfNEt1zGljNDsVwUTdJZWXl8PMzKxJUG15eTmuXLlC7ydVVlZiwoQJdIOD8sHojIwMzJ49GydPnuxwH3odhUKhwPLlyxEeHo7o6GgMGjSI7SUxjhQoHaMe7S1btgylpaU4duwY20vipI0bN+LBgwfw9/eHn58fUlNT8dZbb+Hjjz/GZ599RgfNsjWavT2YHM3eUgQTVZSo8RT37t2j75KuX78OBwcHejyFt7d3q2vg+mHvzm7JkiU4fvw4zp07p3L2ycLCosME6pICxYKamhp4eXnBx8cHS5YsQWZmJh48eABfX98OdciOaWlpaRCLxRg3bhz27t2LLl266Gw0O1PaO5q9uQgmU1NTug2cOm9UVVWF6OhousGhqKgI48aNo8dTODg4kKLDkNjYWAQGBuLWrVvIy8tDeHg4pk+frrPv39Kf45EjRzBv3jydrUObSIHSspqaGvz000+oq6tDQUEBkpOTUVBQgISEBHh5eSEtLQ02NjYQCASwt7fHDz/8wKnmiS1btuDChQtITk5Gly5dUFZWxup6cnNzMWXKFHTv3h3Hjh2jCxIVNMvkaHZtUXc0e0sRTNS5JFNTU8jlcjx69Ii+S4qLi4OtrS392G78+PGcP4ulr37//XfExcXB1dUVM2fO1HmB6gxIgdKy6upqzJw5Ey9evMDw4cMxePBgxMTEICkpCRcuXIC5uTl9mJZ6/MelDr+NGzeiR48eePbsGQ4fPsx6gQJeTuOdNWsWMjMzcebMGfr903Q0u65Ro9mVg2bViWCqrq7G1atX6aKUk5MDb29viEQiiMVineQXEqp4PB4pUFpADjNokUKhgKmpKX7//XeV5/kFBQUQCARwcnICdX1QUVGBxMRETJgwgVNF6quvvgIARqLzmdKtWzecPXsWK1asgI+PD0JDQ+Hq6oqePXti5MiRSEpKooNmudyA0qdPHxgZGSElJQXPnj2DTCZTiWAaMmQIva/25MkThIaGQiKRIDY2FtbW1hAKhdi1axd8fX3RrVs3UpSIDocUKC3i8Xh0W7nyh8fZs2chFovp31NXV4cHDx7gyy+/xKhRo/Cf//yHE8WJywwNDREUFAQHBweIRCJ8//33EIvF6N69O9544w0kJSUhJSVFK0GzmmocwWRoaIjq6mqUlpbC19cXFhYWqKurQ1xcHL2X9PjxY3h4eEAkEmHHjh1wcnLidPElCCZw629uB9T4QyQzMxN1dXWYOHEigJd3WV27dsWoUaNw5coVzJ49G9u3b8e6devYWK5e4fF4WL16Nfr164f3338fmzZtwpIlS2BiYoJRo0YhNTUViYmJcHZ21qhjTlOtRTBR4ynq6uowefJkfP311+jXrx+uX7+Obt26QSgUYvPmzZg8eTLdLk4QnQUpUDo2YMAAfP/99/S+iVwuB5/PR11dHYyNjfH222/j2rVrWm3x3bRpE/3oriU3b97EyJEjtfL9mfbmm2/i1VdfxZQpU/DkyRNs27YNRkZGcHFxwb1795CQkNCmjjkm1NbWqhyWpSKYHBwc6AimhoYG3Lhxg75LevToEXr16oVbt24hJCQEM2bMIHdJRKdGmiR0iHqrmys85eXlyMjIwLx587BhwwYEBARobR3UlXxr+vXrp3LXERISgpUrV3KiSaIlmZmZ8Pf3x6BBg/D999/T48WfPHmCrKysVoNmNSWXy1FRUUG/t5WVlU0imICXjRHUeIqoqCgYGRnBz88PQqEQQqEQlpaWWL9+Pb777jvEx8eTYwd6gjRJaAe5g9IhqjDJZDIkJyfj0qVLeP78OZ4/f4709HT07NkTixcv1mpxAkB/aHY0AwYMQHx8PN58800IhUKcPn0affr0wYABA2BiYoLk5GRGR7PX19fTBam4uBg8Hg/W1tawt7eHQCBAly5dIJVKkZiYSHfcpaamwtXVFUKhEGvXrsUbb7zRZL9x27Zt8PLygoODAyPrJLSjsrISGRkZ9P9+8uQJkpOTYWVlBTs7OxZX1nGQOygWyOVyzJ49G6GhoThy5Ai8vLxQW1uL/v37s7pX0pzs7GyUlJTgl19+QWBgIJ2UPHDgwDbNZtKluro6fPDBB4iNjUVYWBiGDh0K4GUgakpKCmxtbds1ml2hUKjcJVVUVKjcJVHjKYqLi+k4oUuXLkGhUMDX1xcikQhCoRB9+vQhe0kdQHR0NHx8fJq8PnfuXE51veozUqBYtGbNGmRlZeHEiRPg8/mcjJaZN28efvjhhyavR0VFYfz48bpfkJoUCgU2bNiAoKAgHDt2jF5rW0ezKwevFhUVQaFQqAzx69q1K31HTN0l3b59G05OTvRhWXd3d85nBeqj4OBgBAYGIi8vD46OjtizZw+8vb3ZXhbBIFKgWCCVSunW59WrV+PFixcIDg4mH2JaEBISgqVLl2L37t147733ALQ+ml3d4NWysjJcvnwZEokEkZGRqKmpwcSJE+nxFLa2tpy72OhIqCnSwcHB8PT0xIEDB3Do0CGkp6eTx2sdCClQLKHORwFAfn4+5+N59Nnly5cxc+ZMLF26FF988UWToNnhw4ernE2SyWT0ED/l4NU7d+5AIpFAIpHgxo0bGDx4MB286unpybnHsx3Z6NGj4erqin379tGvDR06FNOnT8fWrVtZXBnBJFKgWMTFR3od1d27d+Hv7w8vLy/s3bsXaWlpqK2thUKhoFv8qVHnPXr0AI/Hw4sXLxAVFUW3gZeVlcHHx4cOXmVjACHx8g7Y1NQUp0+fxowZM+jXV6xYgeTkZMTExLC4OoJJpIuPReTDTXfs7e2xefNmrFmzBg4ODqiursbKlSuxYMEC1NfX49NPP4W/vz88PT1x9OhRREREID4+Hv369YOfnx8OHz6MsWPHcn6kR2dA3eU2furQu3dvPH/+nKVVEdpAChTR4X399df45ptvYGdnh4CAANy7dw/5+fmYO3curKysEBMTAwsLC6xduxZyuRzjxo3DtGnTcODAAQwePJhcSHBU4z8X8kSi4yEFiujw3nzzTcyaNYueOCqTybBy5Uq4uLhAoVDglVdegVAoxLfffovAwEA4ODhg+fLlnMvwI16ytrYGn89vcrdUUFBA9nI7GJKjQujEn3/+iYULF6J///4wMTGBg4MDNm7ciPr6eq1/b0dHR5Vx2Hw+H3v37sWHH36IGzduIDMzE/v378fq1auRkJCAxMREpKWlaX1dRPt06dIFbm5uiIyMVHk9MjISHh4eLK2K0AZyiUjoxP379yGXy3HgwAEMHDgQd+7cwaJFi1BVVYWdO3eysqa9e/c2ea1v375ISEggGXgct3r1asyZMwcjR46Eu7s7Dh48iOzsbPzrX/9ie2kEg0gXH8GawMBA7Nu3D5mZmWwvhdAQG5OXg4ODsWPHDuTl5cHJyQm7d+/G2LFjtf59Cd0hl4kEa8rLy2FlZcX2MggG1NfXIyAgAIsXL9bZ91yyZAn+/PNP1NXV4datW6Q4dUDkER/BisePH2Pv3r3YtWsX20shGMDFycuE/iN3UIRGNm3aBB6P1+o/iYmJKv+f3NxcCIVCBAQE4IMPPmBp5QRBcB25gyI0smzZMsyaNavV39OvXz/633Nzc+Hj40NvbBMEQbSEFChCI22ZLZWTkwMfHx+4ubnhyJEjpFOO4zra5GVC/5ACRehEbm4uxo8fDzs7O+zcuROFhYX0r/Xp04fFlREtaevdMUEwjRQoQickEgkyMjKQkZHRZKItOenATR118jKhP8gzFkIn5s2bB4VC0ew/hP7Lzs5GcnIysrOz6QGOycnJqKysZHtpKqRSKWQyGdvLINREDuoSBKExrk1eVg6OPXToEM6cOYPz58//7QRlglvIHRRB6DE2Mw6VhYSENHt3rOviVFFRgYMHD9L//VVVVdixYwfmzJkDPp+PmzdvYtq0aRgzZgwSEhIAvBweSnATKVAEoceUMw7v3r2L3bt3Y//+/fjiiy/YXhorHjx4gI8//hgfffQRSkpKcOLECQgEAvj7+wMACgsLYW9vDw8PD0RFRbG8WuLvkEd8BNHBdNaMQ+qxXlRUFD777DN069YN3bt3h4eHBz799FMAQENDA2praxEVFYXQ0FD8+OOPLK+aaA3p4iOIDqazZhxSe04+Pj44fPgwRCIRysvLcfToUfr3GBkZwcjICPb29qipqUFmZiYGDBhAhh1yFHnERxAdCJVx2NnHTjg6OsLQ0BCVlZXYv38/SkpKAPy132RjYwMbGxtcu3YNADnqwFWkQBF6aerUqbCzs4OxsTFsbGwwZ84c5Obmsr0sxpCMQ83s2rULLi4u2Lt3L44dO4Yvv/wSAOj0EjMzMwwbNgzp6ekqrxPcQvagCL20e/duuLu7w8bGBjk5OVizZg0AID4+nuWVMaOoqAhFRUWt/p5+/frB2NgYwF8Zh6NHj0ZISEin/sCtqqqCn58fZs6ciVWrVuHXX3/Fu+++i4CAABw+fJj+ffHx8Vi1ahVGjBiBd955Bz4+PiyummgOKVBEh/DLL79g+vTpqKurg5GREdvL0SnljMOffvqp05/1CQsLwyeffILbt2/D0tISABAbGwt7e3vY29sDAIKCgvDtt9/CxsYGnp6eWLNmDezs7NhcNtEMUqAIvVdSUoLFixcjJyeH3lPoLHJzczFu3DjY2dnhxx9/VClOnTHjUKFQwN/fH2KxGMuWLWvy6zKZDHw+HxkZGejRoweJcuI4UqAIvbVu3ToEBQWhuroaY8aMwfnz5yEQCHS6hqlTpyI5ORkFBQWwtLSEr68vtm/fjldeeUUn3z8kJATz589v9tfIX21VzXXqyeVyyOVy8Pl80sXHQZ33QTXBOW1tDPj000+RlJQEiUQCPp+P999/X+cfyj4+Pjh16hQePHiAM2fO4PHjx3jrrbd09v1JxmHzZDJZk/eguQJkYGAAQ0NDUpw4itxBEZzR1sYAZc+ePUPfvn0RHx8Pd3d3bS3xb3XmvTCCYBo5qEtwhibjHajrrLq6OiaX1CYlJSU4duwYPDw8SHEiCAaQR3yE3klISEBQUBCSk5ORlZWFqKgozJ49Gw4ODqzcPa1btw5mZmYQCATIzs7GuXPndL4GguiISIEi9I6JiQnCwsIwceJEDBkyBAsWLICTkxNiYmLQtWtXjb++Pu6FEURHRPagCKKRjrAXRhAdAdmDIohG9H0vjCA6CnIHRRDtlJCQgISEBHh5ecHS0hKZmZnYsGED8vLycPfuXUYeNxJEZ0b2oAiinbS9F0YQnR25gyIIgiA4idxBEQRBEJxEChRBEATBSaRAEQRBEJxEChRBEATBSaRAEQRBEJxEChRBEATBSaRAEQRBEJxEChRBEATBSaRAEQRBEJxEChRBEATBSaRAEQRBEJxEChRBEATBSf8PoT8NFNkyx5UAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "# 绘制三维样本散点\n",
    "ax.scatter(X[:,0], X[:,1], y)\n",
    "\n",
    "# 生成回归平面的数据点\n",
    "x1_grid, x2_grid = np.meshgrid(np.linspace(-3, 3, 10), \n",
    "                               np.linspace(-3, 3, 10))\n",
    "X_grid=np.column_stack((x1_grid.flatten(),x2_grid.flatten()))\n",
    "\n",
    "# 预测回归平面上的响应变量\n",
    "y_pred = LR.predict(X_grid)\n",
    "y_pred = y_pred.reshape(x1_grid.shape)\n",
    "\n",
    "# 绘制回归平面\n",
    "ax.plot_wireframe(x1_grid, x2_grid, y_pred)\n",
    "\n",
    "ax.set_xlabel('$x_1$'); ax.set_ylabel('$x_2$')\n",
    "ax.set_zlabel('y')\n",
    "ax.set_xlim([-3,3]); ax.set_ylim([-3,3])\n",
    "ax.set_proj_type('ortho'); ax.view_init(azim=-120, elev=30)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
